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Finding the Fourth Proportional to 16,419.13, 22,658.39 and 8,967.13

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Solution

The fourth proportional to 16,419.13, 22,658.39 and 8,967.13 is: 12,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.13 : 22,658.39 = 8,967.13 : x
  2. Step 2: Convert to fraction form
    16,419.13/22,658.39 = 8,967.13/x
  3. Step 3: Cross multiply
    16,419.13x = 22,658.39 × 8,967.13
  4. Step 4: Simplify right side
    16,419.13x = 203,180,728.72
  5. Step 5: Solve for x
    x = 203,180,728.72/16,419.13
  6. Step 6: Final answer
    x = 12,374.63

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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.