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Finding the Fourth Proportional to 19,598.38, 27,045.76 and 10,645.90

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Solution

The fourth proportional to 19,598.38, 27,045.76 and 10,645.90 is: 14,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,598.38 : 27,045.76 = 10,645.90 : x
  2. Step 2: Convert to fraction form
    19,598.38/27,045.76 = 10,645.90/x
  3. Step 3: Cross multiply
    19,598.38x = 27,045.76 × 10,645.90
  4. Step 4: Simplify right side
    19,598.38x = 287,926,456.38
  5. Step 5: Solve for x
    x = 287,926,456.38/19,598.38
  6. Step 6: Final answer
    x = 14,691.34

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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.