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Finding the Fourth Proportional to 21,776, 30,056 and 12,949.12

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Solution

The fourth proportional to 21,776, 30,056 and 12,949.12 is: 17,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776 : 30,056 = 12,949.12 : x
  2. Step 2: Convert to fraction form
    21,776/30,056 = 12,949.12/x
  3. Step 3: Cross multiply
    21,776x = 30,056 × 12,949.12
  4. Step 4: Simplify right side
    21,776x = 389,198,750.72
  5. Step 5: Solve for x
    x = 389,198,750.72/21,776
  6. Step 6: Final answer
    x = 17,872.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.