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Finding the Fourth Proportional to 25,156.38, 34,715.81 and 13,978.38

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Solution

The fourth proportional to 25,156.38, 34,715.81 and 13,978.38 is: 19,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,156.38 : 34,715.81 = 13,978.38 : x
  2. Step 2: Convert to fraction form
    25,156.38/34,715.81 = 13,978.38/x
  3. Step 3: Cross multiply
    25,156.38x = 34,715.81 × 13,978.38
  4. Step 4: Simplify right side
    25,156.38x = 485,270,784.19
  5. Step 5: Solve for x
    x = 485,270,784.19/25,156.38
  6. Step 6: Final answer
    x = 19,290.17

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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.