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Finding the Fourth Proportional to 25,005.38, 34,507.42 and 14,398.43

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Solution

The fourth proportional to 25,005.38, 34,507.42 and 14,398.43 is: 19,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005.38 : 34,507.42 = 14,398.43 : x
  2. Step 2: Convert to fraction form
    25,005.38/34,507.42 = 14,398.43/x
  3. Step 3: Cross multiply
    25,005.38x = 34,507.42 × 14,398.43
  4. Step 4: Simplify right side
    25,005.38x = 496,852,462.82
  5. Step 5: Solve for x
    x = 496,852,462.82/25,005.38
  6. Step 6: Final answer
    x = 19,869.83

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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.