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Finding the Fourth Proportional to 10,814.87, 16,114.80 and 9,635.82

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Solution

The fourth proportional to 10,814.87, 16,114.80 and 9,635.82 is: 14,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.87 : 16,114.80 = 9,635.82 : x
  2. Step 2: Convert to fraction form
    10,814.87/16,114.80 = 9,635.82/x
  3. Step 3: Cross multiply
    10,814.87x = 16,114.80 × 9,635.82
  4. Step 4: Simplify right side
    10,814.87x = 155,279,312.14
  5. Step 5: Solve for x
    x = 155,279,312.14/10,814.87
  6. Step 6: Final answer
    x = 14,357.95

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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.