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Finding the Fourth Proportional to 22,510.41, 33,762.13 and 7,517.78

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Solution

The fourth proportional to 22,510.41, 33,762.13 and 7,517.78 is: 11,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.41 : 33,762.13 = 7,517.78 : x
  2. Step 2: Convert to fraction form
    22,510.41/33,762.13 = 7,517.78/x
  3. Step 3: Cross multiply
    22,510.41x = 33,762.13 × 7,517.78
  4. Step 4: Simplify right side
    22,510.41x = 253,816,059.27
  5. Step 5: Solve for x
    x = 253,816,059.27/22,510.41
  6. Step 6: Final answer
    x = 11,275.50

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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.