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Finding the Fourth Proportional to 10,964.50, 16,454.31 and 9,502.18

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Solution

The fourth proportional to 10,964.50, 16,454.31 and 9,502.18 is: 14,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.50 : 16,454.31 = 9,502.18 : x
  2. Step 2: Convert to fraction form
    10,964.50/16,454.31 = 9,502.18/x
  3. Step 3: Cross multiply
    10,964.50x = 16,454.31 × 9,502.18
  4. Step 4: Simplify right side
    10,964.50x = 156,351,815.40
  5. Step 5: Solve for x
    x = 156,351,815.40/10,964.50
  6. Step 6: Final answer
    x = 14,259.82

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Why These Related Problems?

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