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Finding the Fourth Proportional to 13,431.77, 20,012.68 and 12,677.25

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Solution

The fourth proportional to 13,431.77, 20,012.68 and 12,677.25 is: 18,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.77 : 20,012.68 = 12,677.25 : x
  2. Step 2: Convert to fraction form
    13,431.77/20,012.68 = 12,677.25/x
  3. Step 3: Cross multiply
    13,431.77x = 20,012.68 × 12,677.25
  4. Step 4: Simplify right side
    13,431.77x = 253,705,747.53
  5. Step 5: Solve for x
    x = 253,705,747.53/13,431.77
  6. Step 6: Final answer
    x = 18,888.48

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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.