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Finding the Fourth Proportional to 16,578.46, 24,865.23 and 6,046.01

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Solution

The fourth proportional to 16,578.46, 24,865.23 and 6,046.01 is: 9,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.46 : 24,865.23 = 6,046.01 : x
  2. Step 2: Convert to fraction form
    16,578.46/24,865.23 = 6,046.01/x
  3. Step 3: Cross multiply
    16,578.46x = 24,865.23 × 6,046.01
  4. Step 4: Simplify right side
    16,578.46x = 150,335,304.91
  5. Step 5: Solve for x
    x = 150,335,304.91/16,578.46
  6. Step 6: Final answer
    x = 9,068.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.