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Finding the Fourth Proportional to 25,705, 35,472.96 and 14,527

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Solution

The fourth proportional to 25,705, 35,472.96 and 14,527 is: 20,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705 : 35,472.96 = 14,527 : x
  2. Step 2: Convert to fraction form
    25,705/35,472.96 = 14,527/x
  3. Step 3: Cross multiply
    25,705x = 35,472.96 × 14,527
  4. Step 4: Simplify right side
    25,705x = 515,315,689.92
  5. Step 5: Solve for x
    x = 515,315,689.92/25,705
  6. Step 6: Final answer
    x = 20,047.29

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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.