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Finding the Fourth Proportional to 23,423.65, 35,135.15 and 5,654.15

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Solution

The fourth proportional to 23,423.65, 35,135.15 and 5,654.15 is: 8,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.65 : 35,135.15 = 5,654.15 : x
  2. Step 2: Convert to fraction form
    23,423.65/35,135.15 = 5,654.15/x
  3. Step 3: Cross multiply
    23,423.65x = 35,135.15 × 5,654.15
  4. Step 4: Simplify right side
    23,423.65x = 198,659,204.43
  5. Step 5: Solve for x
    x = 198,659,204.43/23,423.65
  6. Step 6: Final answer
    x = 8,481.14

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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.