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Finding the Fourth Proportional to 17,540, 26,303.60 and 5,849.76

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Solution

The fourth proportional to 17,540, 26,303.60 and 5,849.76 is: 8,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540 : 26,303.60 = 5,849.76 : x
  2. Step 2: Convert to fraction form
    17,540/26,303.60 = 5,849.76/x
  3. Step 3: Cross multiply
    17,540x = 26,303.60 × 5,849.76
  4. Step 4: Simplify right side
    17,540x = 153,869,747.14
  5. Step 5: Solve for x
    x = 153,869,747.14/17,540
  6. Step 6: Final answer
    x = 8,772.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.