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Finding the Fourth Proportional to 16,023.42, 24,035.13 and 9,141.66

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Solution

The fourth proportional to 16,023.42, 24,035.13 and 9,141.66 is: 13,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.42 : 24,035.13 = 9,141.66 : x
  2. Step 2: Convert to fraction form
    16,023.42/24,035.13 = 9,141.66/x
  3. Step 3: Cross multiply
    16,023.42x = 24,035.13 × 9,141.66
  4. Step 4: Simplify right side
    16,023.42x = 219,720,986.52
  5. Step 5: Solve for x
    x = 219,720,986.52/16,023.42
  6. Step 6: Final answer
    x = 13,712.49

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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.