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Finding the Fourth Proportional to 10,219.81, 15,327.29 and 2,824.11

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Solution

The fourth proportional to 10,219.81, 15,327.29 and 2,824.11 is: 4,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.81 : 15,327.29 = 2,824.11 : x
  2. Step 2: Convert to fraction form
    10,219.81/15,327.29 = 2,824.11/x
  3. Step 3: Cross multiply
    10,219.81x = 15,327.29 × 2,824.11
  4. Step 4: Simplify right side
    10,219.81x = 43,285,862.20
  5. Step 5: Solve for x
    x = 43,285,862.20/10,219.81
  6. Step 6: Final answer
    x = 4,235.49

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Why These Related Problems?

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