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Finding the Fourth Proportional to 16,218.60, 22,380.32 and 9,146.76

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Solution

The fourth proportional to 16,218.60, 22,380.32 and 9,146.76 is: 12,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.60 : 22,380.32 = 9,146.76 : x
  2. Step 2: Convert to fraction form
    16,218.60/22,380.32 = 9,146.76/x
  3. Step 3: Cross multiply
    16,218.60x = 22,380.32 × 9,146.76
  4. Step 4: Simplify right side
    16,218.60x = 204,707,415.76
  5. Step 5: Solve for x
    x = 204,707,415.76/16,218.60
  6. Step 6: Final answer
    x = 12,621.77

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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.