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Finding the Fourth Proportional to 12,278.76, 18,421.20 and 5,709.60

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Solution

The fourth proportional to 12,278.76, 18,421.20 and 5,709.60 is: 8,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.76 : 18,421.20 = 5,709.60 : x
  2. Step 2: Convert to fraction form
    12,278.76/18,421.20 = 5,709.60/x
  3. Step 3: Cross multiply
    12,278.76x = 18,421.20 × 5,709.60
  4. Step 4: Simplify right side
    12,278.76x = 105,177,683.52
  5. Step 5: Solve for x
    x = 105,177,683.52/12,278.76
  6. Step 6: Final answer
    x = 8,565.82

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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.