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Finding the Fourth Proportional to 22,832.45, 31,508.70 and 12,760.88

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Solution

The fourth proportional to 22,832.45, 31,508.70 and 12,760.88 is: 17,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.45 : 31,508.70 = 12,760.88 : x
  2. Step 2: Convert to fraction form
    22,832.45/31,508.70 = 12,760.88/x
  3. Step 3: Cross multiply
    22,832.45x = 31,508.70 × 12,760.88
  4. Step 4: Simplify right side
    22,832.45x = 402,078,582.11
  5. Step 5: Solve for x
    x = 402,078,582.11/22,832.45
  6. Step 6: Final answer
    x = 17,609.97

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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.