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Finding the Fourth Proportional to 10,238.23, 15,251.68 and 9,928.48

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Solution

The fourth proportional to 10,238.23, 15,251.68 and 9,928.48 is: 14,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.23 : 15,251.68 = 9,928.48 : x
  2. Step 2: Convert to fraction form
    10,238.23/15,251.68 = 9,928.48/x
  3. Step 3: Cross multiply
    10,238.23x = 15,251.68 × 9,928.48
  4. Step 4: Simplify right side
    10,238.23x = 151,425,999.85
  5. Step 5: Solve for x
    x = 151,425,999.85/10,238.23
  6. Step 6: Final answer
    x = 14,790.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.