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Finding the Fourth Proportional to 25,714.86, 38,586.86 and 10,143.42

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Solution

The fourth proportional to 25,714.86, 38,586.86 and 10,143.42 is: 15,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.86 : 38,586.86 = 10,143.42 : x
  2. Step 2: Convert to fraction form
    25,714.86/38,586.86 = 10,143.42/x
  3. Step 3: Cross multiply
    25,714.86x = 38,586.86 × 10,143.42
  4. Step 4: Simplify right side
    25,714.86x = 391,402,727.46
  5. Step 5: Solve for x
    x = 391,402,727.46/25,714.86
  6. Step 6: Final answer
    x = 15,220.88

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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.