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Finding the Fourth Proportional to 10,913.84, 16,382.21 and 9,672.38

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Solution

The fourth proportional to 10,913.84, 16,382.21 and 9,672.38 is: 14,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.84 : 16,382.21 = 9,672.38 : x
  2. Step 2: Convert to fraction form
    10,913.84/16,382.21 = 9,672.38/x
  3. Step 3: Cross multiply
    10,913.84x = 16,382.21 × 9,672.38
  4. Step 4: Simplify right side
    10,913.84x = 158,454,902.63
  5. Step 5: Solve for x
    x = 158,454,902.63/10,913.84
  6. Step 6: Final answer
    x = 14,518.71

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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.