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Finding the Fourth Proportional to 16,404.24, 22,637.64 and 8,951.76

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Solution

The fourth proportional to 16,404.24, 22,637.64 and 8,951.76 is: 12,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.24 : 22,637.64 = 8,951.76 : x
  2. Step 2: Convert to fraction form
    16,404.24/22,637.64 = 8,951.76/x
  3. Step 3: Cross multiply
    16,404.24x = 22,637.64 × 8,951.76
  4. Step 4: Simplify right side
    16,404.24x = 202,646,720.25
  5. Step 5: Solve for x
    x = 202,646,720.25/16,404.24
  6. Step 6: Final answer
    x = 12,353.31

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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.