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Finding the Fourth Proportional to 17,874.16, 26,813.40 and 6,184.24

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Solution

The fourth proportional to 17,874.16, 26,813.40 and 6,184.24 is: 9,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.16 : 26,813.40 = 6,184.24 : x
  2. Step 2: Convert to fraction form
    17,874.16/26,813.40 = 6,184.24/x
  3. Step 3: Cross multiply
    17,874.16x = 26,813.40 × 6,184.24
  4. Step 4: Simplify right side
    17,874.16x = 165,820,500.82
  5. Step 5: Solve for x
    x = 165,820,500.82/17,874.16
  6. Step 6: Final answer
    x = 9,277.11

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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.