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Finding the Fourth Proportional to 25,938, 35,800.92 and 14,766.48

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Solution

The fourth proportional to 25,938, 35,800.92 and 14,766.48 is: 20,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,938 : 35,800.92 = 14,766.48 : x
  2. Step 2: Convert to fraction form
    25,938/35,800.92 = 14,766.48/x
  3. Step 3: Cross multiply
    25,938x = 35,800.92 × 14,766.48
  4. Step 4: Simplify right side
    25,938x = 528,653,569.16
  5. Step 5: Solve for x
    x = 528,653,569.16/25,938
  6. Step 6: Final answer
    x = 20,381.43

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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.