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Finding the Fourth Proportional to 22,624.26, 33,938.70 and 7,833.15

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Solution

The fourth proportional to 22,624.26, 33,938.70 and 7,833.15 is: 11,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.26 : 33,938.70 = 7,833.15 : x
  2. Step 2: Convert to fraction form
    22,624.26/33,938.70 = 7,833.15/x
  3. Step 3: Cross multiply
    22,624.26x = 33,938.70 × 7,833.15
  4. Step 4: Simplify right side
    22,624.26x = 265,846,927.91
  5. Step 5: Solve for x
    x = 265,846,927.91/22,624.26
  6. Step 6: Final answer
    x = 11,750.52

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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.