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Finding the Fourth Proportional to 11,898.32, 17,849.64 and 9,964.04

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Solution

The fourth proportional to 11,898.32, 17,849.64 and 9,964.04 is: 14,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.32 : 17,849.64 = 9,964.04 : x
  2. Step 2: Convert to fraction form
    11,898.32/17,849.64 = 9,964.04/x
  3. Step 3: Cross multiply
    11,898.32x = 17,849.64 × 9,964.04
  4. Step 4: Simplify right side
    11,898.32x = 177,854,526.95
  5. Step 5: Solve for x
    x = 177,854,526.95/11,898.32
  6. Step 6: Final answer
    x = 14,947.87

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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.