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Finding the Fourth Proportional to 16,215.69, 24,323.54 and 6,853.17

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Solution

The fourth proportional to 16,215.69, 24,323.54 and 6,853.17 is: 10,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.69 : 24,323.54 = 6,853.17 : x
  2. Step 2: Convert to fraction form
    16,215.69/24,323.54 = 6,853.17/x
  3. Step 3: Cross multiply
    16,215.69x = 24,323.54 × 6,853.17
  4. Step 4: Simplify right side
    16,215.69x = 166,693,450.12
  5. Step 5: Solve for x
    x = 166,693,450.12/16,215.69
  6. Step 6: Final answer
    x = 10,279.76

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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.