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Finding the Fourth Proportional to 16,235, 22,404.46 and 8,783.16

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Solution

The fourth proportional to 16,235, 22,404.46 and 8,783.16 is: 12,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235 : 22,404.46 = 8,783.16 : x
  2. Step 2: Convert to fraction form
    16,235/22,404.46 = 8,783.16/x
  3. Step 3: Cross multiply
    16,235x = 22,404.46 × 8,783.16
  4. Step 4: Simplify right side
    16,235x = 196,781,956.89
  5. Step 5: Solve for x
    x = 196,781,956.89/16,235
  6. Step 6: Final answer
    x = 12,120.85

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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.