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Finding the Fourth Proportional to 16,578.50, 24,874.24 and 6,191.06

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Solution

The fourth proportional to 16,578.50, 24,874.24 and 6,191.06 is: 9,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.50 : 24,874.24 = 6,191.06 : x
  2. Step 2: Convert to fraction form
    16,578.50/24,874.24 = 6,191.06/x
  3. Step 3: Cross multiply
    16,578.50x = 24,874.24 × 6,191.06
  4. Step 4: Simplify right side
    16,578.50x = 153,997,959.00
  5. Step 5: Solve for x
    x = 153,997,959.00/16,578.50
  6. Step 6: Final answer
    x = 9,289.02

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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.