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Finding the Fourth Proportional to 16,102.56, 22,222.68 and 9,029.64

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Solution

The fourth proportional to 16,102.56, 22,222.68 and 9,029.64 is: 12,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.56 : 22,222.68 = 9,029.64 : x
  2. Step 2: Convert to fraction form
    16,102.56/22,222.68 = 9,029.64/x
  3. Step 3: Cross multiply
    16,102.56x = 22,222.68 × 9,029.64
  4. Step 4: Simplify right side
    16,102.56x = 200,662,800.24
  5. Step 5: Solve for x
    x = 200,662,800.24/16,102.56
  6. Step 6: Final answer
    x = 12,461.55

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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.