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Finding the Fourth Proportional to 13,833.87, 19,092.05 and 8,170.35

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Solution

The fourth proportional to 13,833.87, 19,092.05 and 8,170.35 is: 11,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.87 : 19,092.05 = 8,170.35 : x
  2. Step 2: Convert to fraction form
    13,833.87/19,092.05 = 8,170.35/x
  3. Step 3: Cross multiply
    13,833.87x = 19,092.05 × 8,170.35
  4. Step 4: Simplify right side
    13,833.87x = 155,988,689.87
  5. Step 5: Solve for x
    x = 155,988,689.87/13,833.87
  6. Step 6: Final answer
    x = 11,275.85

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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.