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Finding the Fourth Proportional to 22,002.12, 33,007.50 and 6,419.88

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Solution

The fourth proportional to 22,002.12, 33,007.50 and 6,419.88 is: 9,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.12 : 33,007.50 = 6,419.88 : x
  2. Step 2: Convert to fraction form
    22,002.12/33,007.50 = 6,419.88/x
  3. Step 3: Cross multiply
    22,002.12x = 33,007.50 × 6,419.88
  4. Step 4: Simplify right side
    22,002.12x = 211,904,189.10
  5. Step 5: Solve for x
    x = 211,904,189.10/22,002.12
  6. Step 6: Final answer
    x = 9,631.08

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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.