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Finding the Fourth Proportional to 21,334.84, 31,940.29 and 12,423

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Solution

The fourth proportional to 21,334.84, 31,940.29 and 12,423 is: 18,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.84 : 31,940.29 = 12,423 : x
  2. Step 2: Convert to fraction form
    21,334.84/31,940.29 = 12,423/x
  3. Step 3: Cross multiply
    21,334.84x = 31,940.29 × 12,423
  4. Step 4: Simplify right side
    21,334.84x = 396,794,222.67
  5. Step 5: Solve for x
    x = 396,794,222.67/21,334.84
  6. Step 6: Final answer
    x = 18,598.42

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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.