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Finding the Fourth Proportional to 23,810.28, 35,721.36 and 7,169.94

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Solution

The fourth proportional to 23,810.28, 35,721.36 and 7,169.94 is: 10,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.28 : 35,721.36 = 7,169.94 : x
  2. Step 2: Convert to fraction form
    23,810.28/35,721.36 = 7,169.94/x
  3. Step 3: Cross multiply
    23,810.28x = 35,721.36 × 7,169.94
  4. Step 4: Simplify right side
    23,810.28x = 256,120,007.92
  5. Step 5: Solve for x
    x = 256,120,007.92/23,810.28
  6. Step 6: Final answer
    x = 10,756.70

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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.