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Finding the Fourth Proportional to 22,982.84, 34,474.26 and 7,401.68

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Solution

The fourth proportional to 22,982.84, 34,474.26 and 7,401.68 is: 11,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.84 : 34,474.26 = 7,401.68 : x
  2. Step 2: Convert to fraction form
    22,982.84/34,474.26 = 7,401.68/x
  3. Step 3: Cross multiply
    22,982.84x = 34,474.26 × 7,401.68
  4. Step 4: Simplify right side
    22,982.84x = 255,167,440.76
  5. Step 5: Solve for x
    x = 255,167,440.76/22,982.84
  6. Step 6: Final answer
    x = 11,102.52

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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.