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Finding the Fourth Proportional to 15,493.97, 21,381.83 and 9,205.13

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Solution

The fourth proportional to 15,493.97, 21,381.83 and 9,205.13 is: 12,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.97 : 21,381.83 = 9,205.13 : x
  2. Step 2: Convert to fraction form
    15,493.97/21,381.83 = 9,205.13/x
  3. Step 3: Cross multiply
    15,493.97x = 21,381.83 × 9,205.13
  4. Step 4: Simplify right side
    15,493.97x = 196,822,371.85
  5. Step 5: Solve for x
    x = 196,822,371.85/15,493.97
  6. Step 6: Final answer
    x = 12,703.16

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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.