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Finding the Fourth Proportional to 23,932.67, 35,899.01 and 10,769.66

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Solution

The fourth proportional to 23,932.67, 35,899.01 and 10,769.66 is: 16,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.67 : 35,899.01 = 10,769.66 : x
  2. Step 2: Convert to fraction form
    23,932.67/35,899.01 = 10,769.66/x
  3. Step 3: Cross multiply
    23,932.67x = 35,899.01 × 10,769.66
  4. Step 4: Simplify right side
    23,932.67x = 386,620,248.71
  5. Step 5: Solve for x
    x = 386,620,248.71/23,932.67
  6. Step 6: Final answer
    x = 16,154.50

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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.