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Finding the Fourth Proportional to 23,807.67, 35,711.87 and 7,168.47

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Solution

The fourth proportional to 23,807.67, 35,711.87 and 7,168.47 is: 10,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.67 : 35,711.87 = 7,168.47 : x
  2. Step 2: Convert to fraction form
    23,807.67/35,711.87 = 7,168.47/x
  3. Step 3: Cross multiply
    23,807.67x = 35,711.87 × 7,168.47
  4. Step 4: Simplify right side
    23,807.67x = 255,999,432.90
  5. Step 5: Solve for x
    x = 255,999,432.90/23,807.67
  6. Step 6: Final answer
    x = 10,752.81

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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.