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Finding the Fourth Proportional to 25,902.70, 35,744.61 and 14,572

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Solution

The fourth proportional to 25,902.70, 35,744.61 and 14,572 is: 20,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.70 : 35,744.61 = 14,572 : x
  2. Step 2: Convert to fraction form
    25,902.70/35,744.61 = 14,572/x
  3. Step 3: Cross multiply
    25,902.70x = 35,744.61 × 14,572
  4. Step 4: Simplify right side
    25,902.70x = 520,870,456.92
  5. Step 5: Solve for x
    x = 520,870,456.92/25,902.70
  6. Step 6: Final answer
    x = 20,108.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.