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Finding the Fourth Proportional to 17,842.38, 24,622.61 and 9,776.45

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Solution

The fourth proportional to 17,842.38, 24,622.61 and 9,776.45 is: 13,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.38 : 24,622.61 = 9,776.45 : x
  2. Step 2: Convert to fraction form
    17,842.38/24,622.61 = 9,776.45/x
  3. Step 3: Cross multiply
    17,842.38x = 24,622.61 × 9,776.45
  4. Step 4: Simplify right side
    17,842.38x = 240,721,543.54
  5. Step 5: Solve for x
    x = 240,721,543.54/17,842.38
  6. Step 6: Final answer
    x = 13,491.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.