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Finding the Fourth Proportional to 22,832.47, 31,508.16 and 12,760.94

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Solution

The fourth proportional to 22,832.47, 31,508.16 and 12,760.94 is: 17,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.47 : 31,508.16 = 12,760.94 : x
  2. Step 2: Convert to fraction form
    22,832.47/31,508.16 = 12,760.94/x
  3. Step 3: Cross multiply
    22,832.47x = 31,508.16 × 12,760.94
  4. Step 4: Simplify right side
    22,832.47x = 402,073,739.27
  5. Step 5: Solve for x
    x = 402,073,739.27/22,832.47
  6. Step 6: Final answer
    x = 17,609.74

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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.