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Finding the Fourth Proportional to 24,802, 34,255.92 and 16,403.92

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Solution

The fourth proportional to 24,802, 34,255.92 and 16,403.92 is: 22,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 34,255.92 = 16,403.92 : x
  2. Step 2: Convert to fraction form
    24,802/34,255.92 = 16,403.92/x
  3. Step 3: Cross multiply
    24,802x = 34,255.92 × 16,403.92
  4. Step 4: Simplify right side
    24,802x = 561,931,371.21
  5. Step 5: Solve for x
    x = 561,931,371.21/24,802
  6. Step 6: Final answer
    x = 22,656.70

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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.