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Finding the Fourth Proportional to 16,035.42, 24,047.37 and 6,169.74

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Solution

The fourth proportional to 16,035.42, 24,047.37 and 6,169.74 is: 9,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,035.42 : 24,047.37 = 6,169.74 : x
  2. Step 2: Convert to fraction form
    16,035.42/24,047.37 = 6,169.74/x
  3. Step 3: Cross multiply
    16,035.42x = 24,047.37 × 6,169.74
  4. Step 4: Simplify right side
    16,035.42x = 148,366,020.58
  5. Step 5: Solve for x
    x = 148,366,020.58/16,035.42
  6. Step 6: Final answer
    x = 9,252.39

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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.