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Finding the Fourth Proportional to 12,533.38, 17,296.08 and 6,867.22

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Solution

The fourth proportional to 12,533.38, 17,296.08 and 6,867.22 is: 9,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.38 : 17,296.08 = 6,867.22 : x
  2. Step 2: Convert to fraction form
    12,533.38/17,296.08 = 6,867.22/x
  3. Step 3: Cross multiply
    12,533.38x = 17,296.08 × 6,867.22
  4. Step 4: Simplify right side
    12,533.38x = 118,776,021.15
  5. Step 5: Solve for x
    x = 118,776,021.15/12,533.38
  6. Step 6: Final answer
    x = 9,476.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.