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Finding the Fourth Proportional to 16,138.55, 22,269.12 and 9,419.31

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Solution

The fourth proportional to 16,138.55, 22,269.12 and 9,419.31 is: 12,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.55 : 22,269.12 = 9,419.31 : x
  2. Step 2: Convert to fraction form
    16,138.55/22,269.12 = 9,419.31/x
  3. Step 3: Cross multiply
    16,138.55x = 22,269.12 × 9,419.31
  4. Step 4: Simplify right side
    16,138.55x = 209,759,744.71
  5. Step 5: Solve for x
    x = 209,759,744.71/16,138.55
  6. Step 6: Final answer
    x = 12,997.44

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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.