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Finding the Fourth Proportional to 21,264.92, 31,901.99 and 6,473.46

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Solution

The fourth proportional to 21,264.92, 31,901.99 and 6,473.46 is: 9,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.92 : 31,901.99 = 6,473.46 : x
  2. Step 2: Convert to fraction form
    21,264.92/31,901.99 = 6,473.46/x
  3. Step 3: Cross multiply
    21,264.92x = 31,901.99 × 6,473.46
  4. Step 4: Simplify right side
    21,264.92x = 206,516,112.86
  5. Step 5: Solve for x
    x = 206,516,112.86/21,264.92
  6. Step 6: Final answer
    x = 9,711.59

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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.