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Finding the Fourth Proportional to 24,177.57, 36,258.14 and 8,378.92

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Solution

The fourth proportional to 24,177.57, 36,258.14 and 8,378.92 is: 12,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.57 : 36,258.14 = 8,378.92 : x
  2. Step 2: Convert to fraction form
    24,177.57/36,258.14 = 8,378.92/x
  3. Step 3: Cross multiply
    24,177.57x = 36,258.14 × 8,378.92
  4. Step 4: Simplify right side
    24,177.57x = 303,804,054.41
  5. Step 5: Solve for x
    x = 303,804,054.41/24,177.57
  6. Step 6: Final answer
    x = 12,565.53

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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.