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Finding the Fourth Proportional to 20,631.84, 30,959.64 and 8,946.24

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Solution

The fourth proportional to 20,631.84, 30,959.64 and 8,946.24 is: 13,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631.84 : 30,959.64 = 8,946.24 : x
  2. Step 2: Convert to fraction form
    20,631.84/30,959.64 = 8,946.24/x
  3. Step 3: Cross multiply
    20,631.84x = 30,959.64 × 8,946.24
  4. Step 4: Simplify right side
    20,631.84x = 276,972,369.75
  5. Step 5: Solve for x
    x = 276,972,369.75/20,631.84
  6. Step 6: Final answer
    x = 13,424.51

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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.