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Finding the Fourth Proportional to 16,508.48, 22,784.62 and 9,797.81

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Solution

The fourth proportional to 16,508.48, 22,784.62 and 9,797.81 is: 13,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.48 : 22,784.62 = 9,797.81 : x
  2. Step 2: Convert to fraction form
    16,508.48/22,784.62 = 9,797.81/x
  3. Step 3: Cross multiply
    16,508.48x = 22,784.62 × 9,797.81
  4. Step 4: Simplify right side
    16,508.48x = 223,239,377.68
  5. Step 5: Solve for x
    x = 223,239,377.68/16,508.48
  6. Step 6: Final answer
    x = 13,522.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.