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Finding the Fourth Proportional to 12,588.54, 18,873.75 and 5,921.31

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Solution

The fourth proportional to 12,588.54, 18,873.75 and 5,921.31 is: 8,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.54 : 18,873.75 = 5,921.31 : x
  2. Step 2: Convert to fraction form
    12,588.54/18,873.75 = 5,921.31/x
  3. Step 3: Cross multiply
    12,588.54x = 18,873.75 × 5,921.31
  4. Step 4: Simplify right side
    12,588.54x = 111,757,324.61
  5. Step 5: Solve for x
    x = 111,757,324.61/12,588.54
  6. Step 6: Final answer
    x = 8,877.70

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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.