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Finding the Fourth Proportional to 21,772.24, 32,656.12 and 6,991.76

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Solution

The fourth proportional to 21,772.24, 32,656.12 and 6,991.76 is: 10,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.24 : 32,656.12 = 6,991.76 : x
  2. Step 2: Convert to fraction form
    21,772.24/32,656.12 = 6,991.76/x
  3. Step 3: Cross multiply
    21,772.24x = 32,656.12 × 6,991.76
  4. Step 4: Simplify right side
    21,772.24x = 228,323,753.57
  5. Step 5: Solve for x
    x = 228,323,753.57/21,772.24
  6. Step 6: Final answer
    x = 10,486.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.