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Finding the Fourth Proportional to 22,942.26, 34,393.88 and 10,457.88

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Solution

The fourth proportional to 22,942.26, 34,393.88 and 10,457.88 is: 15,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.26 : 34,393.88 = 10,457.88 : x
  2. Step 2: Convert to fraction form
    22,942.26/34,393.88 = 10,457.88/x
  3. Step 3: Cross multiply
    22,942.26x = 34,393.88 × 10,457.88
  4. Step 4: Simplify right side
    22,942.26x = 359,687,069.77
  5. Step 5: Solve for x
    x = 359,687,069.77/22,942.26
  6. Step 6: Final answer
    x = 15,677.93

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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.