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Finding the Fourth Proportional to 23,484.42, 35,231.24 and 8,693.46

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Solution

The fourth proportional to 23,484.42, 35,231.24 and 8,693.46 is: 13,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.42 : 35,231.24 = 8,693.46 : x
  2. Step 2: Convert to fraction form
    23,484.42/35,231.24 = 8,693.46/x
  3. Step 3: Cross multiply
    23,484.42x = 35,231.24 × 8,693.46
  4. Step 4: Simplify right side
    23,484.42x = 306,281,375.69
  5. Step 5: Solve for x
    x = 306,281,375.69/23,484.42
  6. Step 6: Final answer
    x = 13,041.90

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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.