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Finding the Fourth Proportional to 22,384.41, 33,572.49 and 9,053.91

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Solution

The fourth proportional to 22,384.41, 33,572.49 and 9,053.91 is: 13,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.41 : 33,572.49 = 9,053.91 : x
  2. Step 2: Convert to fraction form
    22,384.41/33,572.49 = 9,053.91/x
  3. Step 3: Cross multiply
    22,384.41x = 33,572.49 × 9,053.91
  4. Step 4: Simplify right side
    22,384.41x = 303,962,302.94
  5. Step 5: Solve for x
    x = 303,962,302.94/22,384.41
  6. Step 6: Final answer
    x = 13,579.20

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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.