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Finding the Fourth Proportional to 23,147.04, 34,714.20 and 8,353.20

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Solution

The fourth proportional to 23,147.04, 34,714.20 and 8,353.20 is: 12,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.04 : 34,714.20 = 8,353.20 : x
  2. Step 2: Convert to fraction form
    23,147.04/34,714.20 = 8,353.20/x
  3. Step 3: Cross multiply
    23,147.04x = 34,714.20 × 8,353.20
  4. Step 4: Simplify right side
    23,147.04x = 289,974,655.44
  5. Step 5: Solve for x
    x = 289,974,655.44/23,147.04
  6. Step 6: Final answer
    x = 12,527.50

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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.