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Finding the Fourth Proportional to 17,538.94, 26,309.78 and 5,852.16

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Solution

The fourth proportional to 17,538.94, 26,309.78 and 5,852.16 is: 8,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.94 : 26,309.78 = 5,852.16 : x
  2. Step 2: Convert to fraction form
    17,538.94/26,309.78 = 5,852.16/x
  3. Step 3: Cross multiply
    17,538.94x = 26,309.78 × 5,852.16
  4. Step 4: Simplify right side
    17,538.94x = 153,969,042.12
  5. Step 5: Solve for x
    x = 153,969,042.12/17,538.94
  6. Step 6: Final answer
    x = 8,778.70

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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.