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Finding the Fourth Proportional to 17,757.90, 24,507.09 and 10,206.69

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Solution

The fourth proportional to 17,757.90, 24,507.09 and 10,206.69 is: 14,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.90 : 24,507.09 = 10,206.69 : x
  2. Step 2: Convert to fraction form
    17,757.90/24,507.09 = 10,206.69/x
  3. Step 3: Cross multiply
    17,757.90x = 24,507.09 × 10,206.69
  4. Step 4: Simplify right side
    17,757.90x = 250,136,270.43
  5. Step 5: Solve for x
    x = 250,136,270.43/17,757.90
  6. Step 6: Final answer
    x = 14,085.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.