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Finding the Fourth Proportional to 16,520.16, 22,798.56 and 9,448.80

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Solution

The fourth proportional to 16,520.16, 22,798.56 and 9,448.80 is: 13,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.16 : 22,798.56 = 9,448.80 : x
  2. Step 2: Convert to fraction form
    16,520.16/22,798.56 = 9,448.80/x
  3. Step 3: Cross multiply
    16,520.16x = 22,798.56 × 9,448.80
  4. Step 4: Simplify right side
    16,520.16x = 215,419,033.73
  5. Step 5: Solve for x
    x = 215,419,033.73/16,520.16
  6. Step 6: Final answer
    x = 13,039.77

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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.