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Finding the Fourth Proportional to 16,097.66, 24,149.73 and 5,710.22

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Solution

The fourth proportional to 16,097.66, 24,149.73 and 5,710.22 is: 8,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.66 : 24,149.73 = 5,710.22 : x
  2. Step 2: Convert to fraction form
    16,097.66/24,149.73 = 5,710.22/x
  3. Step 3: Cross multiply
    16,097.66x = 24,149.73 × 5,710.22
  4. Step 4: Simplify right side
    16,097.66x = 137,900,271.24
  5. Step 5: Solve for x
    x = 137,900,271.24/16,097.66
  6. Step 6: Final answer
    x = 8,566.48

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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.