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Finding the Fourth Proportional to 13,924, 20,883.98 and 4,060.64

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Solution

The fourth proportional to 13,924, 20,883.98 and 4,060.64 is: 6,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924 : 20,883.98 = 4,060.64 : x
  2. Step 2: Convert to fraction form
    13,924/20,883.98 = 4,060.64/x
  3. Step 3: Cross multiply
    13,924x = 20,883.98 × 4,060.64
  4. Step 4: Simplify right side
    13,924x = 84,802,324.55
  5. Step 5: Solve for x
    x = 84,802,324.55/13,924
  6. Step 6: Final answer
    x = 6,090.37

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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.