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Finding the Fourth Proportional to 13,214.88, 18,229.68 and 8,966.16

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Solution

The fourth proportional to 13,214.88, 18,229.68 and 8,966.16 is: 12,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.88 : 18,229.68 = 8,966.16 : x
  2. Step 2: Convert to fraction form
    13,214.88/18,229.68 = 8,966.16/x
  3. Step 3: Cross multiply
    13,214.88x = 18,229.68 × 8,966.16
  4. Step 4: Simplify right side
    13,214.88x = 163,450,227.63
  5. Step 5: Solve for x
    x = 163,450,227.63/13,214.88
  6. Step 6: Final answer
    x = 12,368.65

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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.