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Finding the Fourth Proportional to 22,631.72, 33,941.10 and 7,836.80

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Solution

The fourth proportional to 22,631.72, 33,941.10 and 7,836.80 is: 11,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.72 : 33,941.10 = 7,836.80 : x
  2. Step 2: Convert to fraction form
    22,631.72/33,941.10 = 7,836.80/x
  3. Step 3: Cross multiply
    22,631.72x = 33,941.10 × 7,836.80
  4. Step 4: Simplify right side
    22,631.72x = 265,989,612.48
  5. Step 5: Solve for x
    x = 265,989,612.48/22,631.72
  6. Step 6: Final answer
    x = 11,752.96

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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.