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Finding the Fourth Proportional to 21,942, 30,280.32 and 12,515.76

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Solution

The fourth proportional to 21,942, 30,280.32 and 12,515.76 is: 17,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942 : 30,280.32 = 12,515.76 : x
  2. Step 2: Convert to fraction form
    21,942/30,280.32 = 12,515.76/x
  3. Step 3: Cross multiply
    21,942x = 30,280.32 × 12,515.76
  4. Step 4: Simplify right side
    21,942x = 378,981,217.84
  5. Step 5: Solve for x
    x = 378,981,217.84/21,942
  6. Step 6: Final answer
    x = 17,271.95

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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.