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Finding the Fourth Proportional to 16,258.22, 24,388.02 and 5,164.66

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Solution

The fourth proportional to 16,258.22, 24,388.02 and 5,164.66 is: 7,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.22 : 24,388.02 = 5,164.66 : x
  2. Step 2: Convert to fraction form
    16,258.22/24,388.02 = 5,164.66/x
  3. Step 3: Cross multiply
    16,258.22x = 24,388.02 × 5,164.66
  4. Step 4: Simplify right side
    16,258.22x = 125,955,861.86
  5. Step 5: Solve for x
    x = 125,955,861.86/16,258.22
  6. Step 6: Final answer
    x = 7,747.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.