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Finding the Fourth Proportional to 23,207.92, 32,027.16 and 12,597.64

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Solution

The fourth proportional to 23,207.92, 32,027.16 and 12,597.64 is: 17,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.92 : 32,027.16 = 12,597.64 : x
  2. Step 2: Convert to fraction form
    23,207.92/32,027.16 = 12,597.64/x
  3. Step 3: Cross multiply
    23,207.92x = 32,027.16 × 12,597.64
  4. Step 4: Simplify right side
    23,207.92x = 403,466,631.90
  5. Step 5: Solve for x
    x = 403,466,631.90/23,207.92
  6. Step 6: Final answer
    x = 17,384.87

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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.