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Finding the Fourth Proportional to 20,806.74, 31,203.63 and 6,952.50

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Solution

The fourth proportional to 20,806.74, 31,203.63 and 6,952.50 is: 10,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.74 : 31,203.63 = 6,952.50 : x
  2. Step 2: Convert to fraction form
    20,806.74/31,203.63 = 6,952.50/x
  3. Step 3: Cross multiply
    20,806.74x = 31,203.63 × 6,952.50
  4. Step 4: Simplify right side
    20,806.74x = 216,943,237.58
  5. Step 5: Solve for x
    x = 216,943,237.58/20,806.74
  6. Step 6: Final answer
    x = 10,426.58

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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.