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Finding the Fourth Proportional to 16,278.95, 24,414.72 and 7,841.14

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Solution

The fourth proportional to 16,278.95, 24,414.72 and 7,841.14 is: 11,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.95 : 24,414.72 = 7,841.14 : x
  2. Step 2: Convert to fraction form
    16,278.95/24,414.72 = 7,841.14/x
  3. Step 3: Cross multiply
    16,278.95x = 24,414.72 × 7,841.14
  4. Step 4: Simplify right side
    16,278.95x = 191,439,259.41
  5. Step 5: Solve for x
    x = 191,439,259.41/16,278.95
  6. Step 6: Final answer
    x = 11,759.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.