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Finding the Fourth Proportional to 15,322.74, 22,984.11 and 4,229.06

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Solution

The fourth proportional to 15,322.74, 22,984.11 and 4,229.06 is: 6,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.74 : 22,984.11 = 4,229.06 : x
  2. Step 2: Convert to fraction form
    15,322.74/22,984.11 = 4,229.06/x
  3. Step 3: Cross multiply
    15,322.74x = 22,984.11 × 4,229.06
  4. Step 4: Simplify right side
    15,322.74x = 97,201,180.24
  5. Step 5: Solve for x
    x = 97,201,180.24/15,322.74
  6. Step 6: Final answer
    x = 6,343.59

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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.