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Finding the Fourth Proportional to 11,333.68, 16,924.19 and 9,257.78

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Solution

The fourth proportional to 11,333.68, 16,924.19 and 9,257.78 is: 13,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.68 : 16,924.19 = 9,257.78 : x
  2. Step 2: Convert to fraction form
    11,333.68/16,924.19 = 9,257.78/x
  3. Step 3: Cross multiply
    11,333.68x = 16,924.19 × 9,257.78
  4. Step 4: Simplify right side
    11,333.68x = 156,680,423.72
  5. Step 5: Solve for x
    x = 156,680,423.72/11,333.68
  6. Step 6: Final answer
    x = 13,824.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.