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Finding the Fourth Proportional to 12,546.65, 17,314.47 and 8,567.66

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Solution

The fourth proportional to 12,546.65, 17,314.47 and 8,567.66 is: 11,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.65 : 17,314.47 = 8,567.66 : x
  2. Step 2: Convert to fraction form
    12,546.65/17,314.47 = 8,567.66/x
  3. Step 3: Cross multiply
    12,546.65x = 17,314.47 × 8,567.66
  4. Step 4: Simplify right side
    12,546.65x = 148,344,492.04
  5. Step 5: Solve for x
    x = 148,344,492.04/12,546.65
  6. Step 6: Final answer
    x = 11,823.43

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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.