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Finding the Fourth Proportional to 16,010.40, 24,019.20 and 9,433.20

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Solution

The fourth proportional to 16,010.40, 24,019.20 and 9,433.20 is: 14,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.40 : 24,019.20 = 9,433.20 : x
  2. Step 2: Convert to fraction form
    16,010.40/24,019.20 = 9,433.20/x
  3. Step 3: Cross multiply
    16,010.40x = 24,019.20 × 9,433.20
  4. Step 4: Simplify right side
    16,010.40x = 226,577,917.44
  5. Step 5: Solve for x
    x = 226,577,917.44/16,010.40
  6. Step 6: Final answer
    x = 14,151.92

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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.