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Finding the Fourth Proportional to 22,534.77, 33,805.80 and 9,388.47

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Solution

The fourth proportional to 22,534.77, 33,805.80 and 9,388.47 is: 14,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.77 : 33,805.80 = 9,388.47 : x
  2. Step 2: Convert to fraction form
    22,534.77/33,805.80 = 9,388.47/x
  3. Step 3: Cross multiply
    22,534.77x = 33,805.80 × 9,388.47
  4. Step 4: Simplify right side
    22,534.77x = 317,384,739.13
  5. Step 5: Solve for x
    x = 317,384,739.13/22,534.77
  6. Step 6: Final answer
    x = 14,084.22

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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.