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Finding the Fourth Proportional to 25,167.38, 34,731 and 13,989.38

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Solution

The fourth proportional to 25,167.38, 34,731 and 13,989.38 is: 19,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,167.38 : 34,731 = 13,989.38 : x
  2. Step 2: Convert to fraction form
    25,167.38/34,731 = 13,989.38/x
  3. Step 3: Cross multiply
    25,167.38x = 34,731 × 13,989.38
  4. Step 4: Simplify right side
    25,167.38x = 485,864,983.13
  5. Step 5: Solve for x
    x = 485,864,983.13/25,167.38
  6. Step 6: Final answer
    x = 19,305.35

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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.