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Finding the Fourth Proportional to 23,197.92, 32,013.36 and 12,587.64

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Solution

The fourth proportional to 23,197.92, 32,013.36 and 12,587.64 is: 17,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.92 : 32,013.36 = 12,587.64 : x
  2. Step 2: Convert to fraction form
    23,197.92/32,013.36 = 12,587.64/x
  3. Step 3: Cross multiply
    23,197.92x = 32,013.36 × 12,587.64
  4. Step 4: Simplify right side
    23,197.92x = 402,972,650.87
  5. Step 5: Solve for x
    x = 402,972,650.87/23,197.92
  6. Step 6: Final answer
    x = 17,371.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.