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Finding the Fourth Proportional to 10,830.32, 16,251.95 and 9,949.04

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Solution

The fourth proportional to 10,830.32, 16,251.95 and 9,949.04 is: 14,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.32 : 16,251.95 = 9,949.04 : x
  2. Step 2: Convert to fraction form
    10,830.32/16,251.95 = 9,949.04/x
  3. Step 3: Cross multiply
    10,830.32x = 16,251.95 × 9,949.04
  4. Step 4: Simplify right side
    10,830.32x = 161,691,244.24
  5. Step 5: Solve for x
    x = 161,691,244.24/10,830.32
  6. Step 6: Final answer
    x = 14,929.51

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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.