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Finding the Fourth Proportional to 22,709.80, 34,064.30 and 10,220.98

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Solution

The fourth proportional to 22,709.80, 34,064.30 and 10,220.98 is: 15,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.80 : 34,064.30 = 10,220.98 : x
  2. Step 2: Convert to fraction form
    22,709.80/34,064.30 = 10,220.98/x
  3. Step 3: Cross multiply
    22,709.80x = 34,064.30 × 10,220.98
  4. Step 4: Simplify right side
    22,709.80x = 348,170,529.01
  5. Step 5: Solve for x
    x = 348,170,529.01/22,709.80
  6. Step 6: Final answer
    x = 15,331.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.