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Finding the Fourth Proportional to 16,256.88, 24,385.32 and 6,400.80

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Solution

The fourth proportional to 16,256.88, 24,385.32 and 6,400.80 is: 9,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.88 : 24,385.32 = 6,400.80 : x
  2. Step 2: Convert to fraction form
    16,256.88/24,385.32 = 6,400.80/x
  3. Step 3: Cross multiply
    16,256.88x = 24,385.32 × 6,400.80
  4. Step 4: Simplify right side
    16,256.88x = 156,085,556.26
  5. Step 5: Solve for x
    x = 156,085,556.26/16,256.88
  6. Step 6: Final answer
    x = 9,601.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.