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Finding the Fourth Proportional to 25,884.71, 35,718.42 and 15,132.09

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Solution

The fourth proportional to 25,884.71, 35,718.42 and 15,132.09 is: 20,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.71 : 35,718.42 = 15,132.09 : x
  2. Step 2: Convert to fraction form
    25,884.71/35,718.42 = 15,132.09/x
  3. Step 3: Cross multiply
    25,884.71x = 35,718.42 × 15,132.09
  4. Step 4: Simplify right side
    25,884.71x = 540,494,346.10
  5. Step 5: Solve for x
    x = 540,494,346.10/25,884.71
  6. Step 6: Final answer
    x = 20,880.83

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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.