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Finding the Fourth Proportional to 16,133.32, 24,209.42 and 9,023.56

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Solution

The fourth proportional to 16,133.32, 24,209.42 and 9,023.56 is: 13,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.32 : 24,209.42 = 9,023.56 : x
  2. Step 2: Convert to fraction form
    16,133.32/24,209.42 = 9,023.56/x
  3. Step 3: Cross multiply
    16,133.32x = 24,209.42 × 9,023.56
  4. Step 4: Simplify right side
    16,133.32x = 218,455,153.94
  5. Step 5: Solve for x
    x = 218,455,153.94/16,133.32
  6. Step 6: Final answer
    x = 13,540.62

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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.