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Finding the Fourth Proportional to 16,584.17, 22,886.69 and 9,414.11

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Solution

The fourth proportional to 16,584.17, 22,886.69 and 9,414.11 is: 12,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.17 : 22,886.69 = 9,414.11 : x
  2. Step 2: Convert to fraction form
    16,584.17/22,886.69 = 9,414.11/x
  3. Step 3: Cross multiply
    16,584.17x = 22,886.69 × 9,414.11
  4. Step 4: Simplify right side
    16,584.17x = 215,457,827.34
  5. Step 5: Solve for x
    x = 215,457,827.34/16,584.17
  6. Step 6: Final answer
    x = 12,991.78

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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.