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Finding the Fourth Proportional to 16,095.66, 24,146.73 and 5,708.22

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Solution

The fourth proportional to 16,095.66, 24,146.73 and 5,708.22 is: 8,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.66 : 24,146.73 = 5,708.22 : x
  2. Step 2: Convert to fraction form
    16,095.66/24,146.73 = 5,708.22/x
  3. Step 3: Cross multiply
    16,095.66x = 24,146.73 × 5,708.22
  4. Step 4: Simplify right side
    16,095.66x = 137,834,847.12
  5. Step 5: Solve for x
    x = 137,834,847.12/16,095.66
  6. Step 6: Final answer
    x = 8,563.48

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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.