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Finding the Fourth Proportional to 21,952.84, 32,930.34 and 6,371.68

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Solution

The fourth proportional to 21,952.84, 32,930.34 and 6,371.68 is: 9,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952.84 : 32,930.34 = 6,371.68 : x
  2. Step 2: Convert to fraction form
    21,952.84/32,930.34 = 6,371.68/x
  3. Step 3: Cross multiply
    21,952.84x = 32,930.34 × 6,371.68
  4. Step 4: Simplify right side
    21,952.84x = 209,821,588.77
  5. Step 5: Solve for x
    x = 209,821,588.77/21,952.84
  6. Step 6: Final answer
    x = 9,557.83

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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.