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Finding the Fourth Proportional to 21,321.80, 31,941.13 and 12,981.13

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Solution

The fourth proportional to 21,321.80, 31,941.13 and 12,981.13 is: 19,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.80 : 31,941.13 = 12,981.13 : x
  2. Step 2: Convert to fraction form
    21,321.80/31,941.13 = 12,981.13/x
  3. Step 3: Cross multiply
    21,321.80x = 31,941.13 × 12,981.13
  4. Step 4: Simplify right side
    21,321.80x = 414,631,960.88
  5. Step 5: Solve for x
    x = 414,631,960.88/21,321.80
  6. Step 6: Final answer
    x = 19,446.39

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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.