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Finding the Fourth Proportional to 16,305.36, 24,446.68 and 7,866.76

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Solution

The fourth proportional to 16,305.36, 24,446.68 and 7,866.76 is: 11,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.36 : 24,446.68 = 7,866.76 : x
  2. Step 2: Convert to fraction form
    16,305.36/24,446.68 = 7,866.76/x
  3. Step 3: Cross multiply
    16,305.36x = 24,446.68 × 7,866.76
  4. Step 4: Simplify right side
    16,305.36x = 192,316,164.36
  5. Step 5: Solve for x
    x = 192,316,164.36/16,305.36
  6. Step 6: Final answer
    x = 11,794.66

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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.