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Finding the Fourth Proportional to 17,829.62, 26,748.12 and 5,349.14

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Solution

The fourth proportional to 17,829.62, 26,748.12 and 5,349.14 is: 8,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.62 : 26,748.12 = 5,349.14 : x
  2. Step 2: Convert to fraction form
    17,829.62/26,748.12 = 5,349.14/x
  3. Step 3: Cross multiply
    17,829.62x = 26,748.12 × 5,349.14
  4. Step 4: Simplify right side
    17,829.62x = 143,079,438.62
  5. Step 5: Solve for x
    x = 143,079,438.62/17,829.62
  6. Step 6: Final answer
    x = 8,024.82

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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.