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Finding the Fourth Proportional to 22,583.04, 33,828.48 and 11,616

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Solution

The fourth proportional to 22,583.04, 33,828.48 and 11,616 is: 17,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.04 : 33,828.48 = 11,616 : x
  2. Step 2: Convert to fraction form
    22,583.04/33,828.48 = 11,616/x
  3. Step 3: Cross multiply
    22,583.04x = 33,828.48 × 11,616
  4. Step 4: Simplify right side
    22,583.04x = 392,951,623.68
  5. Step 5: Solve for x
    x = 392,951,623.68/22,583.04
  6. Step 6: Final answer
    x = 17,400.30

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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.