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Finding the Fourth Proportional to 25,862.79, 35,694.81 and 24,174.38

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Solution

The fourth proportional to 25,862.79, 35,694.81 and 24,174.38 is: 33,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.79 : 35,694.81 = 24,174.38 : x
  2. Step 2: Convert to fraction form
    25,862.79/35,694.81 = 24,174.38/x
  3. Step 3: Cross multiply
    25,862.79x = 35,694.81 × 24,174.38
  4. Step 4: Simplify right side
    25,862.79x = 862,899,722.49
  5. Step 5: Solve for x
    x = 862,899,722.49/25,862.79
  6. Step 6: Final answer
    x = 33,364.53

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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.