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Finding the Fourth Proportional to 12,123.76, 16,725.14 and 7,874.52

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Solution

The fourth proportional to 12,123.76, 16,725.14 and 7,874.52 is: 10,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.76 : 16,725.14 = 7,874.52 : x
  2. Step 2: Convert to fraction form
    12,123.76/16,725.14 = 7,874.52/x
  3. Step 3: Cross multiply
    12,123.76x = 16,725.14 × 7,874.52
  4. Step 4: Simplify right side
    12,123.76x = 131,702,449.43
  5. Step 5: Solve for x
    x = 131,702,449.43/12,123.76
  6. Step 6: Final answer
    x = 10,863.17

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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.