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Finding the Fourth Proportional to 12,584.77, 18,877.10 and 3,224.77

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Solution

The fourth proportional to 12,584.77, 18,877.10 and 3,224.77 is: 4,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.77 : 18,877.10 = 3,224.77 : x
  2. Step 2: Convert to fraction form
    12,584.77/18,877.10 = 3,224.77/x
  3. Step 3: Cross multiply
    12,584.77x = 18,877.10 × 3,224.77
  4. Step 4: Simplify right side
    12,584.77x = 60,874,242.45
  5. Step 5: Solve for x
    x = 60,874,242.45/12,584.77
  6. Step 6: Final answer
    x = 4,837.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.