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Finding the Fourth Proportional to 25,717, 35,489.46 and 14,541.16

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Solution

The fourth proportional to 25,717, 35,489.46 and 14,541.16 is: 20,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,717 : 35,489.46 = 14,541.16 : x
  2. Step 2: Convert to fraction form
    25,717/35,489.46 = 14,541.16/x
  3. Step 3: Cross multiply
    25,717x = 35,489.46 × 14,541.16
  4. Step 4: Simplify right side
    25,717x = 516,057,916.17
  5. Step 5: Solve for x
    x = 516,057,916.17/25,717
  6. Step 6: Final answer
    x = 20,066.80

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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.