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Finding the Fourth Proportional to 12,661.88, 18,991.26 and 5,642

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Solution

The fourth proportional to 12,661.88, 18,991.26 and 5,642 is: 8,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.88 : 18,991.26 = 5,642 : x
  2. Step 2: Convert to fraction form
    12,661.88/18,991.26 = 5,642/x
  3. Step 3: Cross multiply
    12,661.88x = 18,991.26 × 5,642
  4. Step 4: Simplify right side
    12,661.88x = 107,148,688.92
  5. Step 5: Solve for x
    x = 107,148,688.92/12,661.88
  6. Step 6: Final answer
    x = 8,462.30

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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.