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Finding the Fourth Proportional to 25,707.71, 38,570.31 and 13,862.61

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Solution

The fourth proportional to 25,707.71, 38,570.31 and 13,862.61 is: 20,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707.71 : 38,570.31 = 13,862.61 : x
  2. Step 2: Convert to fraction form
    25,707.71/38,570.31 = 13,862.61/x
  3. Step 3: Cross multiply
    25,707.71x = 38,570.31 × 13,862.61
  4. Step 4: Simplify right side
    25,707.71x = 534,685,165.11
  5. Step 5: Solve for x
    x = 534,685,165.11/25,707.71
  6. Step 6: Final answer
    x = 20,798.63

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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.