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Finding the Fourth Proportional to 22,214.64, 33,335.04 and 8,184.54

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Solution

The fourth proportional to 22,214.64, 33,335.04 and 8,184.54 is: 12,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.64 : 33,335.04 = 8,184.54 : x
  2. Step 2: Convert to fraction form
    22,214.64/33,335.04 = 8,184.54/x
  3. Step 3: Cross multiply
    22,214.64x = 33,335.04 × 8,184.54
  4. Step 4: Simplify right side
    22,214.64x = 272,831,968.28
  5. Step 5: Solve for x
    x = 272,831,968.28/22,214.64
  6. Step 6: Final answer
    x = 12,281.63

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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.