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Finding the Fourth Proportional to 22,356.64, 33,514.80 and 8,495.68

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Solution

The fourth proportional to 22,356.64, 33,514.80 and 8,495.68 is: 12,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.64 : 33,514.80 = 8,495.68 : x
  2. Step 2: Convert to fraction form
    22,356.64/33,514.80 = 8,495.68/x
  3. Step 3: Cross multiply
    22,356.64x = 33,514.80 × 8,495.68
  4. Step 4: Simplify right side
    22,356.64x = 284,731,016.06
  5. Step 5: Solve for x
    x = 284,731,016.06/22,356.64
  6. Step 6: Final answer
    x = 12,735.86

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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.