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Finding the Fourth Proportional to 22,059.72, 33,070.14 and 8,199

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Solution

The fourth proportional to 22,059.72, 33,070.14 and 8,199 is: 12,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,059.72 : 33,070.14 = 8,199 : x
  2. Step 2: Convert to fraction form
    22,059.72/33,070.14 = 8,199/x
  3. Step 3: Cross multiply
    22,059.72x = 33,070.14 × 8,199
  4. Step 4: Simplify right side
    22,059.72x = 271,142,077.86
  5. Step 5: Solve for x
    x = 271,142,077.86/22,059.72
  6. Step 6: Final answer
    x = 12,291.27

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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.