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Finding the Fourth Proportional to 22,134.75, 33,208.61 and 7,141.57

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Solution

The fourth proportional to 22,134.75, 33,208.61 and 7,141.57 is: 10,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.75 : 33,208.61 = 7,141.57 : x
  2. Step 2: Convert to fraction form
    22,134.75/33,208.61 = 7,141.57/x
  3. Step 3: Cross multiply
    22,134.75x = 33,208.61 × 7,141.57
  4. Step 4: Simplify right side
    22,134.75x = 237,161,547.75
  5. Step 5: Solve for x
    x = 237,161,547.75/22,134.75
  6. Step 6: Final answer
    x = 10,714.44

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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.