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Finding the Fourth Proportional to 20,633.77, 30,952.71 and 7,487.17

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Solution

The fourth proportional to 20,633.77, 30,952.71 and 7,487.17 is: 11,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.77 : 30,952.71 = 7,487.17 : x
  2. Step 2: Convert to fraction form
    20,633.77/30,952.71 = 7,487.17/x
  3. Step 3: Cross multiply
    20,633.77x = 30,952.71 × 7,487.17
  4. Step 4: Simplify right side
    20,633.77x = 231,748,103.29
  5. Step 5: Solve for x
    x = 231,748,103.29/20,633.77
  6. Step 6: Final answer
    x = 11,231.50

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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.