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Finding the Fourth Proportional to 23,387.50, 32,276.98 and 12,778.74

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Solution

The fourth proportional to 23,387.50, 32,276.98 and 12,778.74 is: 17,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.50 : 32,276.98 = 12,778.74 : x
  2. Step 2: Convert to fraction form
    23,387.50/32,276.98 = 12,778.74/x
  3. Step 3: Cross multiply
    23,387.50x = 32,276.98 × 12,778.74
  4. Step 4: Simplify right side
    23,387.50x = 412,459,135.41
  5. Step 5: Solve for x
    x = 412,459,135.41/23,387.50
  6. Step 6: Final answer
    x = 17,635.88

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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.