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Finding the Fourth Proportional to 23,472.75, 32,392.40 and 12,862.80

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Solution

The fourth proportional to 23,472.75, 32,392.40 and 12,862.80 is: 17,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.75 : 32,392.40 = 12,862.80 : x
  2. Step 2: Convert to fraction form
    23,472.75/32,392.40 = 12,862.80/x
  3. Step 3: Cross multiply
    23,472.75x = 32,392.40 × 12,862.80
  4. Step 4: Simplify right side
    23,472.75x = 416,656,898.41
  5. Step 5: Solve for x
    x = 416,656,898.41/23,472.75
  6. Step 6: Final answer
    x = 17,750.66

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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.