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Finding the Fourth Proportional to 22,468.17, 33,705.24 and 7,673.11

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Solution

The fourth proportional to 22,468.17, 33,705.24 and 7,673.11 is: 11,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.17 : 33,705.24 = 7,673.11 : x
  2. Step 2: Convert to fraction form
    22,468.17/33,705.24 = 7,673.11/x
  3. Step 3: Cross multiply
    22,468.17x = 33,705.24 × 7,673.11
  4. Step 4: Simplify right side
    22,468.17x = 258,624,014.10
  5. Step 5: Solve for x
    x = 258,624,014.10/22,468.17
  6. Step 6: Final answer
    x = 11,510.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.