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Finding the Fourth Proportional to 16,228.86, 22,390.56 and 9,057.60

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Solution

The fourth proportional to 16,228.86, 22,390.56 and 9,057.60 is: 12,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.86 : 22,390.56 = 9,057.60 : x
  2. Step 2: Convert to fraction form
    16,228.86/22,390.56 = 9,057.60/x
  3. Step 3: Cross multiply
    16,228.86x = 22,390.56 × 9,057.60
  4. Step 4: Simplify right side
    16,228.86x = 202,804,736.26
  5. Step 5: Solve for x
    x = 202,804,736.26/16,228.86
  6. Step 6: Final answer
    x = 12,496.55

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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.