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Finding the Fourth Proportional to 17,768.38, 24,520.28 and 9,810.55

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Solution

The fourth proportional to 17,768.38, 24,520.28 and 9,810.55 is: 13,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.38 : 24,520.28 = 9,810.55 : x
  2. Step 2: Convert to fraction form
    17,768.38/24,520.28 = 9,810.55/x
  3. Step 3: Cross multiply
    17,768.38x = 24,520.28 × 9,810.55
  4. Step 4: Simplify right side
    17,768.38x = 240,557,359.39
  5. Step 5: Solve for x
    x = 240,557,359.39/17,768.38
  6. Step 6: Final answer
    x = 13,538.51

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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.