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Finding the Fourth Proportional to 24,509.44, 36,766.20 and 8,717.93

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Solution

The fourth proportional to 24,509.44, 36,766.20 and 8,717.93 is: 13,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.44 : 36,766.20 = 8,717.93 : x
  2. Step 2: Convert to fraction form
    24,509.44/36,766.20 = 8,717.93/x
  3. Step 3: Cross multiply
    24,509.44x = 36,766.20 × 8,717.93
  4. Step 4: Simplify right side
    24,509.44x = 320,525,144.70
  5. Step 5: Solve for x
    x = 320,525,144.70/24,509.44
  6. Step 6: Final answer
    x = 13,077.62

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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.