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Finding the Fourth Proportional to 16,176.90, 24,268.80 and 9,160.20

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Solution

The fourth proportional to 16,176.90, 24,268.80 and 9,160.20 is: 13,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.90 : 24,268.80 = 9,160.20 : x
  2. Step 2: Convert to fraction form
    16,176.90/24,268.80 = 9,160.20/x
  3. Step 3: Cross multiply
    16,176.90x = 24,268.80 × 9,160.20
  4. Step 4: Simplify right side
    16,176.90x = 222,307,061.76
  5. Step 5: Solve for x
    x = 222,307,061.76/16,176.90
  6. Step 6: Final answer
    x = 13,742.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.