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Finding the Fourth Proportional to 23,194.50, 34,763.23 and 10,697.17

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Solution

The fourth proportional to 23,194.50, 34,763.23 and 10,697.17 is: 16,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.50 : 34,763.23 = 10,697.17 : x
  2. Step 2: Convert to fraction form
    23,194.50/34,763.23 = 10,697.17/x
  3. Step 3: Cross multiply
    23,194.50x = 34,763.23 × 10,697.17
  4. Step 4: Simplify right side
    23,194.50x = 371,868,127.57
  5. Step 5: Solve for x
    x = 371,868,127.57/23,194.50
  6. Step 6: Final answer
    x = 16,032.60

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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.