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Finding the Fourth Proportional to 12,266.96, 18,384.12 and 6,711.92

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Solution

The fourth proportional to 12,266.96, 18,384.12 and 6,711.92 is: 10,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.96 : 18,384.12 = 6,711.92 : x
  2. Step 2: Convert to fraction form
    12,266.96/18,384.12 = 6,711.92/x
  3. Step 3: Cross multiply
    12,266.96x = 18,384.12 × 6,711.92
  4. Step 4: Simplify right side
    12,266.96x = 123,392,742.71
  5. Step 5: Solve for x
    x = 123,392,742.71/12,266.96
  6. Step 6: Final answer
    x = 10,058.95

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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.