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Finding the Fourth Proportional to 22,384.54, 33,578.13 and 9,232.36

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Solution

The fourth proportional to 22,384.54, 33,578.13 and 9,232.36 is: 13,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.54 : 33,578.13 = 9,232.36 : x
  2. Step 2: Convert to fraction form
    22,384.54/33,578.13 = 9,232.36/x
  3. Step 3: Cross multiply
    22,384.54x = 33,578.13 × 9,232.36
  4. Step 4: Simplify right side
    22,384.54x = 310,005,384.29
  5. Step 5: Solve for x
    x = 310,005,384.29/22,384.54
  6. Step 6: Final answer
    x = 13,849.08

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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.