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Finding the Fourth Proportional to 22,832.74, 31,509.07 and 12,761.18

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Solution

The fourth proportional to 22,832.74, 31,509.07 and 12,761.18 is: 17,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.74 : 31,509.07 = 12,761.18 : x
  2. Step 2: Convert to fraction form
    22,832.74/31,509.07 = 12,761.18/x
  3. Step 3: Cross multiply
    22,832.74x = 31,509.07 × 12,761.18
  4. Step 4: Simplify right side
    22,832.74x = 402,092,692.55
  5. Step 5: Solve for x
    x = 402,092,692.55/22,832.74
  6. Step 6: Final answer
    x = 17,610.36

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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.