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Finding the Fourth Proportional to 16,456.51, 24,738.23 and 13,205.17

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Solution

The fourth proportional to 16,456.51, 24,738.23 and 13,205.17 is: 19,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.51 : 24,738.23 = 13,205.17 : x
  2. Step 2: Convert to fraction form
    16,456.51/24,738.23 = 13,205.17/x
  3. Step 3: Cross multiply
    16,456.51x = 24,738.23 × 13,205.17
  4. Step 4: Simplify right side
    16,456.51x = 326,672,466.62
  5. Step 5: Solve for x
    x = 326,672,466.62/16,456.51
  6. Step 6: Final answer
    x = 19,850.65

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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.