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Finding the Fourth Proportional to 12,578.40, 18,864.90 and 7,302.24

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Solution

The fourth proportional to 12,578.40, 18,864.90 and 7,302.24 is: 10,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.40 : 18,864.90 = 7,302.24 : x
  2. Step 2: Convert to fraction form
    12,578.40/18,864.90 = 7,302.24/x
  3. Step 3: Cross multiply
    12,578.40x = 18,864.90 × 7,302.24
  4. Step 4: Simplify right side
    12,578.40x = 137,756,027.38
  5. Step 5: Solve for x
    x = 137,756,027.38/12,578.40
  6. Step 6: Final answer
    x = 10,951.79

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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.