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Finding the Fourth Proportional to 37,714.92, 56,572.53 and 11,419.89

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Solution

The fourth proportional to 37,714.92, 56,572.53 and 11,419.89 is: 17,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714.92 : 56,572.53 = 11,419.89 : x
  2. Step 2: Convert to fraction form
    37,714.92/56,572.53 = 11,419.89/x
  3. Step 3: Cross multiply
    37,714.92x = 56,572.53 × 11,419.89
  4. Step 4: Simplify right side
    37,714.92x = 646,051,814.65
  5. Step 5: Solve for x
    x = 646,051,814.65/37,714.92
  6. Step 6: Final answer
    x = 17,129.88

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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.