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Finding the Fourth Proportional to 23,472.64, 32,392.96 and 12,862.08

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Solution

The fourth proportional to 23,472.64, 32,392.96 and 12,862.08 is: 17,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.64 : 32,392.96 = 12,862.08 : x
  2. Step 2: Convert to fraction form
    23,472.64/32,392.96 = 12,862.08/x
  3. Step 3: Cross multiply
    23,472.64x = 32,392.96 × 12,862.08
  4. Step 4: Simplify right side
    23,472.64x = 416,640,842.96
  5. Step 5: Solve for x
    x = 416,640,842.96/23,472.64
  6. Step 6: Final answer
    x = 17,750.06

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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.