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Finding the Fourth Proportional to 24,714.72, 37,086.64 and 9,143.20

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Solution

The fourth proportional to 24,714.72, 37,086.64 and 9,143.20 is: 13,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.72 : 37,086.64 = 9,143.20 : x
  2. Step 2: Convert to fraction form
    24,714.72/37,086.64 = 9,143.20/x
  3. Step 3: Cross multiply
    24,714.72x = 37,086.64 × 9,143.20
  4. Step 4: Simplify right side
    24,714.72x = 339,090,566.85
  5. Step 5: Solve for x
    x = 339,090,566.85/24,714.72
  6. Step 6: Final answer
    x = 13,720.19

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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.