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Finding the Fourth Proportional to 21,725.67, 29,981.88 and 12,294.24

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Solution

The fourth proportional to 21,725.67, 29,981.88 and 12,294.24 is: 16,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725.67 : 29,981.88 = 12,294.24 : x
  2. Step 2: Convert to fraction form
    21,725.67/29,981.88 = 12,294.24/x
  3. Step 3: Cross multiply
    21,725.67x = 29,981.88 × 12,294.24
  4. Step 4: Simplify right side
    21,725.67x = 368,604,428.37
  5. Step 5: Solve for x
    x = 368,604,428.37/21,725.67
  6. Step 6: Final answer
    x = 16,966.31

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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.