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Finding the Fourth Proportional to 17,830.10, 26,745.15 and 8,614.10

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Solution

The fourth proportional to 17,830.10, 26,745.15 and 8,614.10 is: 12,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.10 : 26,745.15 = 8,614.10 : x
  2. Step 2: Convert to fraction form
    17,830.10/26,745.15 = 8,614.10/x
  3. Step 3: Cross multiply
    17,830.10x = 26,745.15 × 8,614.10
  4. Step 4: Simplify right side
    17,830.10x = 230,385,396.62
  5. Step 5: Solve for x
    x = 230,385,396.62/17,830.10
  6. Step 6: Final answer
    x = 12,921.15

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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.