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Finding the Fourth Proportional to 16,187.93, 24,284.10 and 7,866.84

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Solution

The fourth proportional to 16,187.93, 24,284.10 and 7,866.84 is: 11,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.93 : 24,284.10 = 7,866.84 : x
  2. Step 2: Convert to fraction form
    16,187.93/24,284.10 = 7,866.84/x
  3. Step 3: Cross multiply
    16,187.93x = 24,284.10 × 7,866.84
  4. Step 4: Simplify right side
    16,187.93x = 191,039,129.24
  5. Step 5: Solve for x
    x = 191,039,129.24/16,187.93
  6. Step 6: Final answer
    x = 11,801.34

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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.