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Finding the Fourth Proportional to 11,824.32, 16,298.56 and 9,841.44

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Solution

The fourth proportional to 11,824.32, 16,298.56 and 9,841.44 is: 13,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.32 : 16,298.56 = 9,841.44 : x
  2. Step 2: Convert to fraction form
    11,824.32/16,298.56 = 9,841.44/x
  3. Step 3: Cross multiply
    11,824.32x = 16,298.56 × 9,841.44
  4. Step 4: Simplify right side
    11,824.32x = 160,401,300.33
  5. Step 5: Solve for x
    x = 160,401,300.33/11,824.32
  6. Step 6: Final answer
    x = 13,565.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.