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Finding the Fourth Proportional to 23,391.68, 32,280.98 and 12,781.98

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Solution

The fourth proportional to 23,391.68, 32,280.98 and 12,781.98 is: 17,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,391.68 : 32,280.98 = 12,781.98 : x
  2. Step 2: Convert to fraction form
    23,391.68/32,280.98 = 12,781.98/x
  3. Step 3: Cross multiply
    23,391.68x = 32,280.98 × 12,781.98
  4. Step 4: Simplify right side
    23,391.68x = 412,614,776.83
  5. Step 5: Solve for x
    x = 412,614,776.83/23,391.68
  6. Step 6: Final answer
    x = 17,639.39

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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.