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Finding the Fourth Proportional to 13,760.64, 20,642.40 and 9,110.88

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Solution

The fourth proportional to 13,760.64, 20,642.40 and 9,110.88 is: 13,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.64 : 20,642.40 = 9,110.88 : x
  2. Step 2: Convert to fraction form
    13,760.64/20,642.40 = 9,110.88/x
  3. Step 3: Cross multiply
    13,760.64x = 20,642.40 × 9,110.88
  4. Step 4: Simplify right side
    13,760.64x = 188,070,429.31
  5. Step 5: Solve for x
    x = 188,070,429.31/13,760.64
  6. Step 6: Final answer
    x = 13,667.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.