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Finding the Fourth Proportional to 13,775.67, 18,976.68 and 9,987.71

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Solution

The fourth proportional to 13,775.67, 18,976.68 and 9,987.71 is: 13,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.67 : 18,976.68 = 9,987.71 : x
  2. Step 2: Convert to fraction form
    13,775.67/18,976.68 = 9,987.71/x
  3. Step 3: Cross multiply
    13,775.67x = 18,976.68 × 9,987.71
  4. Step 4: Simplify right side
    13,775.67x = 189,533,481.72
  5. Step 5: Solve for x
    x = 189,533,481.72/13,775.67
  6. Step 6: Final answer
    x = 13,758.57

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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.