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Finding the Fourth Proportional to 12,580.24, 18,855.24 and 8,876.92

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Solution

The fourth proportional to 12,580.24, 18,855.24 and 8,876.92 is: 13,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.24 : 18,855.24 = 8,876.92 : x
  2. Step 2: Convert to fraction form
    12,580.24/18,855.24 = 8,876.92/x
  3. Step 3: Cross multiply
    12,580.24x = 18,855.24 × 8,876.92
  4. Step 4: Simplify right side
    12,580.24x = 167,376,457.06
  5. Step 5: Solve for x
    x = 167,376,457.06/12,580.24
  6. Step 6: Final answer
    x = 13,304.71

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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.