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Finding the Fourth Proportional to 23,807.68, 35,699.98 and 7,164.61

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Solution

The fourth proportional to 23,807.68, 35,699.98 and 7,164.61 is: 10,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.68 : 35,699.98 = 7,164.61 : x
  2. Step 2: Convert to fraction form
    23,807.68/35,699.98 = 7,164.61/x
  3. Step 3: Cross multiply
    23,807.68x = 35,699.98 × 7,164.61
  4. Step 4: Simplify right side
    23,807.68x = 255,776,473.85
  5. Step 5: Solve for x
    x = 255,776,473.85/23,807.68
  6. Step 6: Final answer
    x = 10,743.44

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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.