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Finding the Fourth Proportional to 19,882.80, 27,438.32 and 11,385.05

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Solution

The fourth proportional to 19,882.80, 27,438.32 and 11,385.05 is: 15,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.80 : 27,438.32 = 11,385.05 : x
  2. Step 2: Convert to fraction form
    19,882.80/27,438.32 = 11,385.05/x
  3. Step 3: Cross multiply
    19,882.80x = 27,438.32 × 11,385.05
  4. Step 4: Simplify right side
    19,882.80x = 312,386,645.12
  5. Step 5: Solve for x
    x = 312,386,645.12/19,882.80
  6. Step 6: Final answer
    x = 15,711.40

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Why These Related Problems?

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