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Finding the Fourth Proportional to 22,328.52, 33,467.20 and 9,164.60

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Solution

The fourth proportional to 22,328.52, 33,467.20 and 9,164.60 is: 13,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.52 : 33,467.20 = 9,164.60 : x
  2. Step 2: Convert to fraction form
    22,328.52/33,467.20 = 9,164.60/x
  3. Step 3: Cross multiply
    22,328.52x = 33,467.20 × 9,164.60
  4. Step 4: Simplify right side
    22,328.52x = 306,713,501.12
  5. Step 5: Solve for x
    x = 306,713,501.12/22,328.52
  6. Step 6: Final answer
    x = 13,736.40

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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.