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Finding the Fourth Proportional to 22,832.66, 31,508.98 and 12,761.09

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Solution

The fourth proportional to 22,832.66, 31,508.98 and 12,761.09 is: 17,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.66 : 31,508.98 = 12,761.09 : x
  2. Step 2: Convert to fraction form
    22,832.66/31,508.98 = 12,761.09/x
  3. Step 3: Cross multiply
    22,832.66x = 31,508.98 × 12,761.09
  4. Step 4: Simplify right side
    22,832.66x = 402,088,865.78
  5. Step 5: Solve for x
    x = 402,088,865.78/22,832.66
  6. Step 6: Final answer
    x = 17,610.25

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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.