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Finding the Fourth Proportional to 16,568.28, 22,865.34 and 9,116.76

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Solution

The fourth proportional to 16,568.28, 22,865.34 and 9,116.76 is: 12,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568.28 : 22,865.34 = 9,116.76 : x
  2. Step 2: Convert to fraction form
    16,568.28/22,865.34 = 9,116.76/x
  3. Step 3: Cross multiply
    16,568.28x = 22,865.34 × 9,116.76
  4. Step 4: Simplify right side
    16,568.28x = 208,457,817.10
  5. Step 5: Solve for x
    x = 208,457,817.10/16,568.28
  6. Step 6: Final answer
    x = 12,581.74

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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.