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Finding the Fourth Proportional to 12,013.94, 16,580.16 and 8,841.76

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Solution

The fourth proportional to 12,013.94, 16,580.16 and 8,841.76 is: 12,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.94 : 16,580.16 = 8,841.76 : x
  2. Step 2: Convert to fraction form
    12,013.94/16,580.16 = 8,841.76/x
  3. Step 3: Cross multiply
    12,013.94x = 16,580.16 × 8,841.76
  4. Step 4: Simplify right side
    12,013.94x = 146,597,783.05
  5. Step 5: Solve for x
    x = 146,597,783.05/12,013.94
  6. Step 6: Final answer
    x = 12,202.30

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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.