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Finding the Fourth Proportional to 24,370.69, 33,627.76 and 13,760.10

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Solution

The fourth proportional to 24,370.69, 33,627.76 and 13,760.10 is: 18,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370.69 : 33,627.76 = 13,760.10 : x
  2. Step 2: Convert to fraction form
    24,370.69/33,627.76 = 13,760.10/x
  3. Step 3: Cross multiply
    24,370.69x = 33,627.76 × 13,760.10
  4. Step 4: Simplify right side
    24,370.69x = 462,721,340.38
  5. Step 5: Solve for x
    x = 462,721,340.38/24,370.69
  6. Step 6: Final answer
    x = 18,986.80

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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.