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Finding the Fourth Proportional to 17,858.16, 26,780.76 and 6,759.18

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Solution

The fourth proportional to 17,858.16, 26,780.76 and 6,759.18 is: 10,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.16 : 26,780.76 = 6,759.18 : x
  2. Step 2: Convert to fraction form
    17,858.16/26,780.76 = 6,759.18/x
  3. Step 3: Cross multiply
    17,858.16x = 26,780.76 × 6,759.18
  4. Step 4: Simplify right side
    17,858.16x = 181,015,977.38
  5. Step 5: Solve for x
    x = 181,015,977.38/17,858.16
  6. Step 6: Final answer
    x = 10,136.32

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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.