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Finding the Fourth Proportional to 13,874.28, 19,144.24 and 8,570.80

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Solution

The fourth proportional to 13,874.28, 19,144.24 and 8,570.80 is: 11,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.28 : 19,144.24 = 8,570.80 : x
  2. Step 2: Convert to fraction form
    13,874.28/19,144.24 = 8,570.80/x
  3. Step 3: Cross multiply
    13,874.28x = 19,144.24 × 8,570.80
  4. Step 4: Simplify right side
    13,874.28x = 164,081,452.19
  5. Step 5: Solve for x
    x = 164,081,452.19/13,874.28
  6. Step 6: Final answer
    x = 11,826.30

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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.