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Finding the Fourth Proportional to 24,321.90, 36,460.80 and 8,735.88

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Solution

The fourth proportional to 24,321.90, 36,460.80 and 8,735.88 is: 13,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.90 : 36,460.80 = 8,735.88 : x
  2. Step 2: Convert to fraction form
    24,321.90/36,460.80 = 8,735.88/x
  3. Step 3: Cross multiply
    24,321.90x = 36,460.80 × 8,735.88
  4. Step 4: Simplify right side
    24,321.90x = 318,517,173.50
  5. Step 5: Solve for x
    x = 318,517,173.50/24,321.90
  6. Step 6: Final answer
    x = 13,095.90

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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.