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Finding the Fourth Proportional to 23,138.46, 34,710.42 and 8,354.34

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Solution

The fourth proportional to 23,138.46, 34,710.42 and 8,354.34 is: 12,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.46 : 34,710.42 = 8,354.34 : x
  2. Step 2: Convert to fraction form
    23,138.46/34,710.42 = 8,354.34/x
  3. Step 3: Cross multiply
    23,138.46x = 34,710.42 × 8,354.34
  4. Step 4: Simplify right side
    23,138.46x = 289,982,681.55
  5. Step 5: Solve for x
    x = 289,982,681.55/23,138.46
  6. Step 6: Final answer
    x = 12,532.50

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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.