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Finding the Fourth Proportional to 13,720.14, 18,934.14 and 7,751.85

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Solution

The fourth proportional to 13,720.14, 18,934.14 and 7,751.85 is: 10,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.14 : 18,934.14 = 7,751.85 : x
  2. Step 2: Convert to fraction form
    13,720.14/18,934.14 = 7,751.85/x
  3. Step 3: Cross multiply
    13,720.14x = 18,934.14 × 7,751.85
  4. Step 4: Simplify right side
    13,720.14x = 146,774,613.16
  5. Step 5: Solve for x
    x = 146,774,613.16/13,720.14
  6. Step 6: Final answer
    x = 10,697.75

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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.