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Finding the Fourth Proportional to 16,258.68, 24,390.09 and 5,161.41

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Solution

The fourth proportional to 16,258.68, 24,390.09 and 5,161.41 is: 7,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.68 : 24,390.09 = 5,161.41 : x
  2. Step 2: Convert to fraction form
    16,258.68/24,390.09 = 5,161.41/x
  3. Step 3: Cross multiply
    16,258.68x = 24,390.09 × 5,161.41
  4. Step 4: Simplify right side
    16,258.68x = 125,887,254.43
  5. Step 5: Solve for x
    x = 125,887,254.43/16,258.68
  6. Step 6: Final answer
    x = 7,742.77

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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.