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Finding the Fourth Proportional to 12,363.80, 18,534.90 and 7,428.20

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Solution

The fourth proportional to 12,363.80, 18,534.90 and 7,428.20 is: 11,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363.80 : 18,534.90 = 7,428.20 : x
  2. Step 2: Convert to fraction form
    12,363.80/18,534.90 = 7,428.20/x
  3. Step 3: Cross multiply
    12,363.80x = 18,534.90 × 7,428.20
  4. Step 4: Simplify right side
    12,363.80x = 137,680,944.18
  5. Step 5: Solve for x
    x = 137,680,944.18/12,363.80
  6. Step 6: Final answer
    x = 11,135.81

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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.