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Finding the Fourth Proportional to 22,524.95, 31,082.04 and 12,451.76

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Solution

The fourth proportional to 22,524.95, 31,082.04 and 12,451.76 is: 17,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.95 : 31,082.04 = 12,451.76 : x
  2. Step 2: Convert to fraction form
    22,524.95/31,082.04 = 12,451.76/x
  3. Step 3: Cross multiply
    22,524.95x = 31,082.04 × 12,451.76
  4. Step 4: Simplify right side
    22,524.95x = 387,026,180.10
  5. Step 5: Solve for x
    x = 387,026,180.10/22,524.95
  6. Step 6: Final answer
    x = 17,182.11

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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.