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Finding the Fourth Proportional to 12,339.95, 18,512.28 and 6,419.66

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Solution

The fourth proportional to 12,339.95, 18,512.28 and 6,419.66 is: 9,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.95 : 18,512.28 = 6,419.66 : x
  2. Step 2: Convert to fraction form
    12,339.95/18,512.28 = 6,419.66/x
  3. Step 3: Cross multiply
    12,339.95x = 18,512.28 × 6,419.66
  4. Step 4: Simplify right side
    12,339.95x = 118,842,450.86
  5. Step 5: Solve for x
    x = 118,842,450.86/12,339.95
  6. Step 6: Final answer
    x = 9,630.71

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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.