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Finding the Fourth Proportional to 17,978,388.24, 26,986,773.36 and 7,748,296.64

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Solution

The fourth proportional to 17,978,388.24, 26,986,773.36 and 7,748,296.64 is: 11,630,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978,388.24 : 26,986,773.36 = 7,748,296.64 : x
  2. Step 2: Convert to fraction form
    17,978,388.24/26,986,773.36 = 7,748,296.64/x
  3. Step 3: Cross multiply
    17,978,388.24x = 26,986,773.36 × 7,748,296.64
  4. Step 4: Simplify right side
    17,978,388.24x = 209,101,525,349,729.50
  5. Step 5: Solve for x
    x = 209,101,525,349,729.50/17,978,388.24
  6. Step 6: Final answer
    x = 11,630,715.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.