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Finding the Fourth Proportional to 16,041.42, 24,007.92 and 11,454.18

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Solution

The fourth proportional to 16,041.42, 24,007.92 and 11,454.18 is: 17,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.42 : 24,007.92 = 11,454.18 : x
  2. Step 2: Convert to fraction form
    16,041.42/24,007.92 = 11,454.18/x
  3. Step 3: Cross multiply
    16,041.42x = 24,007.92 × 11,454.18
  4. Step 4: Simplify right side
    16,041.42x = 274,991,037.11
  5. Step 5: Solve for x
    x = 274,991,037.11/16,041.42
  6. Step 6: Final answer
    x = 17,142.56

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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.