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Finding the Fourth Proportional to 15,322.74, 22,985.42 and 4,229.43

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Solution

The fourth proportional to 15,322.74, 22,985.42 and 4,229.43 is: 6,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.74 : 22,985.42 = 4,229.43 : x
  2. Step 2: Convert to fraction form
    15,322.74/22,985.42 = 4,229.43/x
  3. Step 3: Cross multiply
    15,322.74x = 22,985.42 × 4,229.43
  4. Step 4: Simplify right side
    15,322.74x = 97,215,120.56
  5. Step 5: Solve for x
    x = 97,215,120.56/15,322.74
  6. Step 6: Final answer
    x = 6,344.50

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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.