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Finding the Fourth Proportional to 12,538.20, 18,807.30 and 12,343.80

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Solution

The fourth proportional to 12,538.20, 18,807.30 and 12,343.80 is: 18,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.20 : 18,807.30 = 12,343.80 : x
  2. Step 2: Convert to fraction form
    12,538.20/18,807.30 = 12,343.80/x
  3. Step 3: Cross multiply
    12,538.20x = 18,807.30 × 12,343.80
  4. Step 4: Simplify right side
    12,538.20x = 232,153,549.74
  5. Step 5: Solve for x
    x = 232,153,549.74/12,538.20
  6. Step 6: Final answer
    x = 18,515.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.