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Finding the Fourth Proportional to 22,803.80, 34,211.01 and 7,811.08

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Solution

The fourth proportional to 22,803.80, 34,211.01 and 7,811.08 is: 11,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.80 : 34,211.01 = 7,811.08 : x
  2. Step 2: Convert to fraction form
    22,803.80/34,211.01 = 7,811.08/x
  3. Step 3: Cross multiply
    22,803.80x = 34,211.01 × 7,811.08
  4. Step 4: Simplify right side
    22,803.80x = 267,224,745.41
  5. Step 5: Solve for x
    x = 267,224,745.41/22,803.80
  6. Step 6: Final answer
    x = 11,718.43

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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.