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Finding the Fourth Proportional to 12,380.50, 18,572.80 and 6,140.71

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Solution

The fourth proportional to 12,380.50, 18,572.80 and 6,140.71 is: 9,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.50 : 18,572.80 = 6,140.71 : x
  2. Step 2: Convert to fraction form
    12,380.50/18,572.80 = 6,140.71/x
  3. Step 3: Cross multiply
    12,380.50x = 18,572.80 × 6,140.71
  4. Step 4: Simplify right side
    12,380.50x = 114,050,178.69
  5. Step 5: Solve for x
    x = 114,050,178.69/12,380.50
  6. Step 6: Final answer
    x = 9,212.08

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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.