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Finding the Fourth Proportional to 23,143.26, 34,707.71 and 8,350.26

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Solution

The fourth proportional to 23,143.26, 34,707.71 and 8,350.26 is: 12,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.26 : 34,707.71 = 8,350.26 : x
  2. Step 2: Convert to fraction form
    23,143.26/34,707.71 = 8,350.26/x
  3. Step 3: Cross multiply
    23,143.26x = 34,707.71 × 8,350.26
  4. Step 4: Simplify right side
    23,143.26x = 289,818,402.50
  5. Step 5: Solve for x
    x = 289,818,402.50/23,143.26
  6. Step 6: Final answer
    x = 12,522.80

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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.