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Finding the Fourth Proportional to 21,322.50, 31,942.18 and 12,981.82

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Solution

The fourth proportional to 21,322.50, 31,942.18 and 12,981.82 is: 19,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.50 : 31,942.18 = 12,981.82 : x
  2. Step 2: Convert to fraction form
    21,322.50/31,942.18 = 12,981.82/x
  3. Step 3: Cross multiply
    21,322.50x = 31,942.18 × 12,981.82
  4. Step 4: Simplify right side
    21,322.50x = 414,667,631.17
  5. Step 5: Solve for x
    x = 414,667,631.17/21,322.50
  6. Step 6: Final answer
    x = 19,447.42

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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.