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Finding the Fourth Proportional to 22,624.16, 33,941.12 and 6,827.87

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Solution

The fourth proportional to 22,624.16, 33,941.12 and 6,827.87 is: 10,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.16 : 33,941.12 = 6,827.87 : x
  2. Step 2: Convert to fraction form
    22,624.16/33,941.12 = 6,827.87/x
  3. Step 3: Cross multiply
    22,624.16x = 33,941.12 × 6,827.87
  4. Step 4: Simplify right side
    22,624.16x = 231,745,733.38
  5. Step 5: Solve for x
    x = 231,745,733.38/22,624.16
  6. Step 6: Final answer
    x = 10,243.28

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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.