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Finding the Fourth Proportional to 22,291, 33,423.54 and 7,491.76

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Solution

The fourth proportional to 22,291, 33,423.54 and 7,491.76 is: 11,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,291 : 33,423.54 = 7,491.76 : x
  2. Step 2: Convert to fraction form
    22,291/33,423.54 = 7,491.76/x
  3. Step 3: Cross multiply
    22,291x = 33,423.54 × 7,491.76
  4. Step 4: Simplify right side
    22,291x = 250,401,140.03
  5. Step 5: Solve for x
    x = 250,401,140.03/22,291
  6. Step 6: Final answer
    x = 11,233.28

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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.