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Finding the Fourth Proportional to 16,099.24, 22,258.02 and 12,140.68

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Solution

The fourth proportional to 16,099.24, 22,258.02 and 12,140.68 is: 16,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.24 : 22,258.02 = 12,140.68 : x
  2. Step 2: Convert to fraction form
    16,099.24/22,258.02 = 12,140.68/x
  3. Step 3: Cross multiply
    16,099.24x = 22,258.02 × 12,140.68
  4. Step 4: Simplify right side
    16,099.24x = 270,227,498.25
  5. Step 5: Solve for x
    x = 270,227,498.25/16,099.24
  6. Step 6: Final answer
    x = 16,785.11

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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.