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Finding the Fourth Proportional to 23,738.50, 32,756.29 and 13,126.69

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Solution

The fourth proportional to 23,738.50, 32,756.29 and 13,126.69 is: 18,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738.50 : 32,756.29 = 13,126.69 : x
  2. Step 2: Convert to fraction form
    23,738.50/32,756.29 = 13,126.69/x
  3. Step 3: Cross multiply
    23,738.50x = 32,756.29 × 13,126.69
  4. Step 4: Simplify right side
    23,738.50x = 429,981,664.38
  5. Step 5: Solve for x
    x = 429,981,664.38/23,738.50
  6. Step 6: Final answer
    x = 18,113.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.