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Finding the Fourth Proportional to 21,123, 31,684.95 and 7,981.56

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Solution

The fourth proportional to 21,123, 31,684.95 and 7,981.56 is: 11,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123 : 31,684.95 = 7,981.56 : x
  2. Step 2: Convert to fraction form
    21,123/31,684.95 = 7,981.56/x
  3. Step 3: Cross multiply
    21,123x = 31,684.95 × 7,981.56
  4. Step 4: Simplify right side
    21,123x = 252,895,329.52
  5. Step 5: Solve for x
    x = 252,895,329.52/21,123
  6. Step 6: Final answer
    x = 11,972.51

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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.