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Finding the Fourth Proportional to 12,419.32, 18,616.51 and 6,169.72

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Solution

The fourth proportional to 12,419.32, 18,616.51 and 6,169.72 is: 9,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.32 : 18,616.51 = 6,169.72 : x
  2. Step 2: Convert to fraction form
    12,419.32/18,616.51 = 6,169.72/x
  3. Step 3: Cross multiply
    12,419.32x = 18,616.51 × 6,169.72
  4. Step 4: Simplify right side
    12,419.32x = 114,858,654.08
  5. Step 5: Solve for x
    x = 114,858,654.08/12,419.32
  6. Step 6: Final answer
    x = 9,248.39

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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.