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Finding the Fourth Proportional to 12,434.27, 18,645.93 and 6,589.53

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Solution

The fourth proportional to 12,434.27, 18,645.93 and 6,589.53 is: 9,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.27 : 18,645.93 = 6,589.53 : x
  2. Step 2: Convert to fraction form
    12,434.27/18,645.93 = 6,589.53/x
  3. Step 3: Cross multiply
    12,434.27x = 18,645.93 × 6,589.53
  4. Step 4: Simplify right side
    12,434.27x = 122,867,915.11
  5. Step 5: Solve for x
    x = 122,867,915.11/12,434.27
  6. Step 6: Final answer
    x = 9,881.40

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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.