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Finding the Fourth Proportional to 17,538.87, 26,309.67 and 5,852.08

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Solution

The fourth proportional to 17,538.87, 26,309.67 and 5,852.08 is: 8,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.87 : 26,309.67 = 5,852.08 : x
  2. Step 2: Convert to fraction form
    17,538.87/26,309.67 = 5,852.08/x
  3. Step 3: Cross multiply
    17,538.87x = 26,309.67 × 5,852.08
  4. Step 4: Simplify right side
    17,538.87x = 153,966,293.61
  5. Step 5: Solve for x
    x = 153,966,293.61/17,538.87
  6. Step 6: Final answer
    x = 8,778.58

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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.