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Finding the Fourth Proportional to 22,632, 33,948.92 and 10,779.68

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Solution

The fourth proportional to 22,632, 33,948.92 and 10,779.68 is: 16,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632 : 33,948.92 = 10,779.68 : x
  2. Step 2: Convert to fraction form
    22,632/33,948.92 = 10,779.68/x
  3. Step 3: Cross multiply
    22,632x = 33,948.92 × 10,779.68
  4. Step 4: Simplify right side
    22,632x = 365,958,270.30
  5. Step 5: Solve for x
    x = 365,958,270.30/22,632
  6. Step 6: Final answer
    x = 16,169.95

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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.