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Finding the Fourth Proportional to 22,113.84, 33,166.20 and 7,319.28

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Solution

The fourth proportional to 22,113.84, 33,166.20 and 7,319.28 is: 10,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113.84 : 33,166.20 = 7,319.28 : x
  2. Step 2: Convert to fraction form
    22,113.84/33,166.20 = 7,319.28/x
  3. Step 3: Cross multiply
    22,113.84x = 33,166.20 × 7,319.28
  4. Step 4: Simplify right side
    22,113.84x = 242,752,704.34
  5. Step 5: Solve for x
    x = 242,752,704.34/22,113.84
  6. Step 6: Final answer
    x = 10,977.41

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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.