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Finding the Fourth Proportional to 16,180, 22,327.86 and 9,106

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Solution

The fourth proportional to 16,180, 22,327.86 and 9,106 is: 12,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180 : 22,327.86 = 9,106 : x
  2. Step 2: Convert to fraction form
    16,180/22,327.86 = 9,106/x
  3. Step 3: Cross multiply
    16,180x = 22,327.86 × 9,106
  4. Step 4: Simplify right side
    16,180x = 203,317,493.16
  5. Step 5: Solve for x
    x = 203,317,493.16/16,180
  6. Step 6: Final answer
    x = 12,565.98

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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.