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Finding the Fourth Proportional to 12,366.61, 18,549.91 and 8,214.72

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Solution

The fourth proportional to 12,366.61, 18,549.91 and 8,214.72 is: 12,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.61 : 18,549.91 = 8,214.72 : x
  2. Step 2: Convert to fraction form
    12,366.61/18,549.91 = 8,214.72/x
  3. Step 3: Cross multiply
    12,366.61x = 18,549.91 × 8,214.72
  4. Step 4: Simplify right side
    12,366.61x = 152,382,257.38
  5. Step 5: Solve for x
    x = 152,382,257.38/12,366.61
  6. Step 6: Final answer
    x = 12,322.07

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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.