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Finding the Fourth Proportional to 25,655.24, 35,404.20 and 14,902.16

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Solution

The fourth proportional to 25,655.24, 35,404.20 and 14,902.16 is: 20,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,655.24 : 35,404.20 = 14,902.16 : x
  2. Step 2: Convert to fraction form
    25,655.24/35,404.20 = 14,902.16/x
  3. Step 3: Cross multiply
    25,655.24x = 35,404.20 × 14,902.16
  4. Step 4: Simplify right side
    25,655.24x = 527,599,053.07
  5. Step 5: Solve for x
    x = 527,599,053.07/25,655.24
  6. Step 6: Final answer
    x = 20,564.96

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