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Finding the Fourth Proportional to 25,501.71, 38,275.02 and 13,665.18

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Solution

The fourth proportional to 25,501.71, 38,275.02 and 13,665.18 is: 20,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,501.71 : 38,275.02 = 13,665.18 : x
  2. Step 2: Convert to fraction form
    25,501.71/38,275.02 = 13,665.18/x
  3. Step 3: Cross multiply
    25,501.71x = 38,275.02 × 13,665.18
  4. Step 4: Simplify right side
    25,501.71x = 523,035,037.80
  5. Step 5: Solve for x
    x = 523,035,037.80/25,501.71
  6. Step 6: Final answer
    x = 20,509.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.