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Finding the Fourth Proportional to 23,978.41, 35,967.96 and 9,188.08

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Solution

The fourth proportional to 23,978.41, 35,967.96 and 9,188.08 is: 13,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.41 : 35,967.96 = 9,188.08 : x
  2. Step 2: Convert to fraction form
    23,978.41/35,967.96 = 9,188.08/x
  3. Step 3: Cross multiply
    23,978.41x = 35,967.96 × 9,188.08
  4. Step 4: Simplify right side
    23,978.41x = 330,476,493.92
  5. Step 5: Solve for x
    x = 330,476,493.92/23,978.41
  6. Step 6: Final answer
    x = 13,782.25

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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.