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Finding the Fourth Proportional to 13,750.62, 18,974.70 and 8,085.55

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Solution

The fourth proportional to 13,750.62, 18,974.70 and 8,085.55 is: 11,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.62 : 18,974.70 = 8,085.55 : x
  2. Step 2: Convert to fraction form
    13,750.62/18,974.70 = 8,085.55/x
  3. Step 3: Cross multiply
    13,750.62x = 18,974.70 × 8,085.55
  4. Step 4: Simplify right side
    13,750.62x = 153,420,885.59
  5. Step 5: Solve for x
    x = 153,420,885.59/13,750.62
  6. Step 6: Final answer
    x = 11,157.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.