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Finding the Fourth Proportional to 22,093.14, 33,139.90 and 6,298.14

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Solution

The fourth proportional to 22,093.14, 33,139.90 and 6,298.14 is: 9,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093.14 : 33,139.90 = 6,298.14 : x
  2. Step 2: Convert to fraction form
    22,093.14/33,139.90 = 6,298.14/x
  3. Step 3: Cross multiply
    22,093.14x = 33,139.90 × 6,298.14
  4. Step 4: Simplify right side
    22,093.14x = 208,719,729.79
  5. Step 5: Solve for x
    x = 208,719,729.79/22,093.14
  6. Step 6: Final answer
    x = 9,447.26

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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.