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Finding the Fourth Proportional to 16,281.27, 24,424.34 and 5,184.68

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Solution

The fourth proportional to 16,281.27, 24,424.34 and 5,184.68 is: 7,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.27 : 24,424.34 = 5,184.68 : x
  2. Step 2: Convert to fraction form
    16,281.27/24,424.34 = 5,184.68/x
  3. Step 3: Cross multiply
    16,281.27x = 24,424.34 × 5,184.68
  4. Step 4: Simplify right side
    16,281.27x = 126,632,239.07
  5. Step 5: Solve for x
    x = 126,632,239.07/16,281.27
  6. Step 6: Final answer
    x = 7,777.79

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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.