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Finding the Fourth Proportional to 16,181.32, 22,330.94 and 9,108.20

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Solution

The fourth proportional to 16,181.32, 22,330.94 and 9,108.20 is: 12,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.32 : 22,330.94 = 9,108.20 : x
  2. Step 2: Convert to fraction form
    16,181.32/22,330.94 = 9,108.20/x
  3. Step 3: Cross multiply
    16,181.32x = 22,330.94 × 9,108.20
  4. Step 4: Simplify right side
    16,181.32x = 203,394,667.71
  5. Step 5: Solve for x
    x = 203,394,667.71/16,181.32
  6. Step 6: Final answer
    x = 12,569.72

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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.