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Finding the Fourth Proportional to 13,758.48, 18,987.34 and 7,789.36

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Solution

The fourth proportional to 13,758.48, 18,987.34 and 7,789.36 is: 10,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.48 : 18,987.34 = 7,789.36 : x
  2. Step 2: Convert to fraction form
    13,758.48/18,987.34 = 7,789.36/x
  3. Step 3: Cross multiply
    13,758.48x = 18,987.34 × 7,789.36
  4. Step 4: Simplify right side
    13,758.48x = 147,899,226.70
  5. Step 5: Solve for x
    x = 147,899,226.70/13,758.48
  6. Step 6: Final answer
    x = 10,749.68

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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.