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Finding the Fourth Proportional to 10,251.36, 15,356.34 and 9,720

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Solution

The fourth proportional to 10,251.36, 15,356.34 and 9,720 is: 14,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.36 : 15,356.34 = 9,720 : x
  2. Step 2: Convert to fraction form
    10,251.36/15,356.34 = 9,720/x
  3. Step 3: Cross multiply
    10,251.36x = 15,356.34 × 9,720
  4. Step 4: Simplify right side
    10,251.36x = 149,263,624.80
  5. Step 5: Solve for x
    x = 149,263,624.80/10,251.36
  6. Step 6: Final answer
    x = 14,560.37

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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.