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Finding the Fourth Proportional to 16,102.96, 22,222.08 and 9,029.36

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Solution

The fourth proportional to 16,102.96, 22,222.08 and 9,029.36 is: 12,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.96 : 22,222.08 = 9,029.36 : x
  2. Step 2: Convert to fraction form
    16,102.96/22,222.08 = 9,029.36/x
  3. Step 3: Cross multiply
    16,102.96x = 22,222.08 × 9,029.36
  4. Step 4: Simplify right side
    16,102.96x = 200,651,160.27
  5. Step 5: Solve for x
    x = 200,651,160.27/16,102.96
  6. Step 6: Final answer
    x = 12,460.51

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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.