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Finding the Fourth Proportional to 21,130.92, 31,691.93 and 13,611.96

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Solution

The fourth proportional to 21,130.92, 31,691.93 and 13,611.96 is: 20,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.92 : 31,691.93 = 13,611.96 : x
  2. Step 2: Convert to fraction form
    21,130.92/31,691.93 = 13,611.96/x
  3. Step 3: Cross multiply
    21,130.92x = 31,691.93 × 13,611.96
  4. Step 4: Simplify right side
    21,130.92x = 431,389,215.42
  5. Step 5: Solve for x
    x = 431,389,215.42/21,130.92
  6. Step 6: Final answer
    x = 20,415.07

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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.