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Finding the Fourth Proportional to 10,947.62, 16,441.19 and 10,068.50

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Solution

The fourth proportional to 10,947.62, 16,441.19 and 10,068.50 is: 15,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.62 : 16,441.19 = 10,068.50 : x
  2. Step 2: Convert to fraction form
    10,947.62/16,441.19 = 10,068.50/x
  3. Step 3: Cross multiply
    10,947.62x = 16,441.19 × 10,068.50
  4. Step 4: Simplify right side
    10,947.62x = 165,537,988.97
  5. Step 5: Solve for x
    x = 165,537,988.97/10,947.62
  6. Step 6: Final answer
    x = 15,120.92

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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.