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Finding the Fourth Proportional to 12,388.53, 18,565.74 and 8,217.48

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Solution

The fourth proportional to 12,388.53, 18,565.74 and 8,217.48 is: 12,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.53 : 18,565.74 = 8,217.48 : x
  2. Step 2: Convert to fraction form
    12,388.53/18,565.74 = 8,217.48/x
  3. Step 3: Cross multiply
    12,388.53x = 18,565.74 × 8,217.48
  4. Step 4: Simplify right side
    12,388.53x = 152,563,597.14
  5. Step 5: Solve for x
    x = 152,563,597.14/12,388.53
  6. Step 6: Final answer
    x = 12,314.91

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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.