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Finding the Fourth Proportional to 12,424.26, 18,565.39 and 9,446.34

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Solution

The fourth proportional to 12,424.26, 18,565.39 and 9,446.34 is: 14,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.26 : 18,565.39 = 9,446.34 : x
  2. Step 2: Convert to fraction form
    12,424.26/18,565.39 = 9,446.34/x
  3. Step 3: Cross multiply
    12,424.26x = 18,565.39 × 9,446.34
  4. Step 4: Simplify right side
    12,424.26x = 175,374,938.94
  5. Step 5: Solve for x
    x = 175,374,938.94/12,424.26
  6. Step 6: Final answer
    x = 14,115.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.