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Finding the Fourth Proportional to 22,148.64, 33,214.32 and 9,672.48

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Solution

The fourth proportional to 22,148.64, 33,214.32 and 9,672.48 is: 14,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.64 : 33,214.32 = 9,672.48 : x
  2. Step 2: Convert to fraction form
    22,148.64/33,214.32 = 9,672.48/x
  3. Step 3: Cross multiply
    22,148.64x = 33,214.32 × 9,672.48
  4. Step 4: Simplify right side
    22,148.64x = 321,264,845.91
  5. Step 5: Solve for x
    x = 321,264,845.91/22,148.64
  6. Step 6: Final answer
    x = 14,504.95

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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.