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Finding the Fourth Proportional to 12,318.89, 18,465.08 and 6,389.84

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Solution

The fourth proportional to 12,318.89, 18,465.08 and 6,389.84 is: 9,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.89 : 18,465.08 = 6,389.84 : x
  2. Step 2: Convert to fraction form
    12,318.89/18,465.08 = 6,389.84/x
  3. Step 3: Cross multiply
    12,318.89x = 18,465.08 × 6,389.84
  4. Step 4: Simplify right side
    12,318.89x = 117,988,853.08
  5. Step 5: Solve for x
    x = 117,988,853.08/12,318.89
  6. Step 6: Final answer
    x = 9,577.88

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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.