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Finding the Fourth Proportional to 22,706.31, 34,064.94 and 7,123.94

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Solution

The fourth proportional to 22,706.31, 34,064.94 and 7,123.94 is: 10,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.31 : 34,064.94 = 7,123.94 : x
  2. Step 2: Convert to fraction form
    22,706.31/34,064.94 = 7,123.94/x
  3. Step 3: Cross multiply
    22,706.31x = 34,064.94 × 7,123.94
  4. Step 4: Simplify right side
    22,706.31x = 242,676,588.66
  5. Step 5: Solve for x
    x = 242,676,588.66/22,706.31
  6. Step 6: Final answer
    x = 10,687.63

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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.