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Finding the Fourth Proportional to 21,266.28, 31,891.32 and 6,470.64

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Solution

The fourth proportional to 21,266.28, 31,891.32 and 6,470.64 is: 9,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.28 : 31,891.32 = 6,470.64 : x
  2. Step 2: Convert to fraction form
    21,266.28/31,891.32 = 6,470.64/x
  3. Step 3: Cross multiply
    21,266.28x = 31,891.32 × 6,470.64
  4. Step 4: Simplify right side
    21,266.28x = 206,357,250.84
  5. Step 5: Solve for x
    x = 206,357,250.84/21,266.28
  6. Step 6: Final answer
    x = 9,703.50

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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.