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Finding the Fourth Proportional to 16,180, 22,325.96 and 9,106.28

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Solution

The fourth proportional to 16,180, 22,325.96 and 9,106.28 is: 12,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180 : 22,325.96 = 9,106.28 : x
  2. Step 2: Convert to fraction form
    16,180/22,325.96 = 9,106.28/x
  3. Step 3: Cross multiply
    16,180x = 22,325.96 × 9,106.28
  4. Step 4: Simplify right side
    16,180x = 203,306,443.03
  5. Step 5: Solve for x
    x = 203,306,443.03/16,180
  6. Step 6: Final answer
    x = 12,565.29

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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.