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Finding the Fourth Proportional to 13,381.93, 19,991.49 and 8,663.50

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Solution

The fourth proportional to 13,381.93, 19,991.49 and 8,663.50 is: 12,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.93 : 19,991.49 = 8,663.50 : x
  2. Step 2: Convert to fraction form
    13,381.93/19,991.49 = 8,663.50/x
  3. Step 3: Cross multiply
    13,381.93x = 19,991.49 × 8,663.50
  4. Step 4: Simplify right side
    13,381.93x = 173,196,273.62
  5. Step 5: Solve for x
    x = 173,196,273.62/13,381.93
  6. Step 6: Final answer
    x = 12,942.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.