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Finding the Fourth Proportional to 22,411.45, 33,610.49 and 7,617

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Solution

The fourth proportional to 22,411.45, 33,610.49 and 7,617 is: 11,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.45 : 33,610.49 = 7,617 : x
  2. Step 2: Convert to fraction form
    22,411.45/33,610.49 = 7,617/x
  3. Step 3: Cross multiply
    22,411.45x = 33,610.49 × 7,617
  4. Step 4: Simplify right side
    22,411.45x = 256,011,064.25
  5. Step 5: Solve for x
    x = 256,011,064.25/22,411.45
  6. Step 6: Final answer
    x = 11,423.23

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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.