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Finding the Fourth Proportional to 25,862.31, 35,677.94 and 16,297.83

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Solution

The fourth proportional to 25,862.31, 35,677.94 and 16,297.83 is: 22,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.31 : 35,677.94 = 16,297.83 : x
  2. Step 2: Convert to fraction form
    25,862.31/35,677.94 = 16,297.83/x
  3. Step 3: Cross multiply
    25,862.31x = 35,677.94 × 16,297.83
  4. Step 4: Simplify right side
    25,862.31x = 581,472,919.38
  5. Step 5: Solve for x
    x = 581,472,919.38/25,862.31
  6. Step 6: Final answer
    x = 22,483.41

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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.