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Finding the Fourth Proportional to 19,882.64, 27,438.10 and 11,384.89

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Solution

The fourth proportional to 19,882.64, 27,438.10 and 11,384.89 is: 15,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.64 : 27,438.10 = 11,384.89 : x
  2. Step 2: Convert to fraction form
    19,882.64/27,438.10 = 11,384.89/x
  3. Step 3: Cross multiply
    19,882.64x = 27,438.10 × 11,384.89
  4. Step 4: Simplify right side
    19,882.64x = 312,379,750.31
  5. Step 5: Solve for x
    x = 312,379,750.31/19,882.64
  6. Step 6: Final answer
    x = 15,711.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.