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Finding the Fourth Proportional to 21,263.28, 31,894.94 and 5,680.50

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Solution

The fourth proportional to 21,263.28, 31,894.94 and 5,680.50 is: 8,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,263.28 : 31,894.94 = 5,680.50 : x
  2. Step 2: Convert to fraction form
    21,263.28/31,894.94 = 5,680.50/x
  3. Step 3: Cross multiply
    21,263.28x = 31,894.94 × 5,680.50
  4. Step 4: Simplify right side
    21,263.28x = 181,179,178.27
  5. Step 5: Solve for x
    x = 181,179,178.27/21,263.28
  6. Step 6: Final answer
    x = 8,520.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.