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Finding the Fourth Proportional to 22,036.72, 33,055.08 and 8,178.16

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Solution

The fourth proportional to 22,036.72, 33,055.08 and 8,178.16 is: 12,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036.72 : 33,055.08 = 8,178.16 : x
  2. Step 2: Convert to fraction form
    22,036.72/33,055.08 = 8,178.16/x
  3. Step 3: Cross multiply
    22,036.72x = 33,055.08 × 8,178.16
  4. Step 4: Simplify right side
    22,036.72x = 270,329,733.05
  5. Step 5: Solve for x
    x = 270,329,733.05/22,036.72
  6. Step 6: Final answer
    x = 12,267.24

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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.