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Finding the Fourth Proportional to 15,835.86, 23,753.76 and 4,149

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Solution

The fourth proportional to 15,835.86, 23,753.76 and 4,149 is: 6,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.86 : 23,753.76 = 4,149 : x
  2. Step 2: Convert to fraction form
    15,835.86/23,753.76 = 4,149/x
  3. Step 3: Cross multiply
    15,835.86x = 23,753.76 × 4,149
  4. Step 4: Simplify right side
    15,835.86x = 98,554,350.24
  5. Step 5: Solve for x
    x = 98,554,350.24/15,835.86
  6. Step 6: Final answer
    x = 6,223.49

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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.