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Finding the Fourth Proportional to 10,462.24, 15,697.20 and 9,844

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Solution

The fourth proportional to 10,462.24, 15,697.20 and 9,844 is: 14,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.24 : 15,697.20 = 9,844 : x
  2. Step 2: Convert to fraction form
    10,462.24/15,697.20 = 9,844/x
  3. Step 3: Cross multiply
    10,462.24x = 15,697.20 × 9,844
  4. Step 4: Simplify right side
    10,462.24x = 154,523,236.80
  5. Step 5: Solve for x
    x = 154,523,236.80/10,462.24
  6. Step 6: Final answer
    x = 14,769.61

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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.