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Finding the Fourth Proportional to 16,242.96, 22,415.25 and 9,169.23

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Solution

The fourth proportional to 16,242.96, 22,415.25 and 9,169.23 is: 12,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.96 : 22,415.25 = 9,169.23 : x
  2. Step 2: Convert to fraction form
    16,242.96/22,415.25 = 9,169.23/x
  3. Step 3: Cross multiply
    16,242.96x = 22,415.25 × 9,169.23
  4. Step 4: Simplify right side
    16,242.96x = 205,530,582.76
  5. Step 5: Solve for x
    x = 205,530,582.76/16,242.96
  6. Step 6: Final answer
    x = 12,653.52

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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.