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Finding the Fourth Proportional to 13,886.98, 20,830.47 and 3,499.54

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Solution

The fourth proportional to 13,886.98, 20,830.47 and 3,499.54 is: 5,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.98 : 20,830.47 = 3,499.54 : x
  2. Step 2: Convert to fraction form
    13,886.98/20,830.47 = 3,499.54/x
  3. Step 3: Cross multiply
    13,886.98x = 20,830.47 × 3,499.54
  4. Step 4: Simplify right side
    13,886.98x = 72,897,062.98
  5. Step 5: Solve for x
    x = 72,897,062.98/13,886.98
  6. Step 6: Final answer
    x = 5,249.31

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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.