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Finding the Fourth Proportional to 12,213.61, 16,855.16 and 8,580.15

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Solution

The fourth proportional to 12,213.61, 16,855.16 and 8,580.15 is: 11,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.61 : 16,855.16 = 8,580.15 : x
  2. Step 2: Convert to fraction form
    12,213.61/16,855.16 = 8,580.15/x
  3. Step 3: Cross multiply
    12,213.61x = 16,855.16 × 8,580.15
  4. Step 4: Simplify right side
    12,213.61x = 144,619,758.17
  5. Step 5: Solve for x
    x = 144,619,758.17/12,213.61
  6. Step 6: Final answer
    x = 11,840.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.