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Finding the Fourth Proportional to 16,046.25, 24,072.48 and 6,184.86

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Solution

The fourth proportional to 16,046.25, 24,072.48 and 6,184.86 is: 9,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.25 : 24,072.48 = 6,184.86 : x
  2. Step 2: Convert to fraction form
    16,046.25/24,072.48 = 6,184.86/x
  3. Step 3: Cross multiply
    16,046.25x = 24,072.48 × 6,184.86
  4. Step 4: Simplify right side
    16,046.25x = 148,884,918.65
  5. Step 5: Solve for x
    x = 148,884,918.65/16,046.25
  6. Step 6: Final answer
    x = 9,278.49

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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.