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Finding the Fourth Proportional to 21,777.12, 32,505.84 and 19,930.32

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Solution

The fourth proportional to 21,777.12, 32,505.84 and 19,930.32 is: 29,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.12 : 32,505.84 = 19,930.32 : x
  2. Step 2: Convert to fraction form
    21,777.12/32,505.84 = 19,930.32/x
  3. Step 3: Cross multiply
    21,777.12x = 32,505.84 × 19,930.32
  4. Step 4: Simplify right side
    21,777.12x = 647,851,793.07
  5. Step 5: Solve for x
    x = 647,851,793.07/21,777.12
  6. Step 6: Final answer
    x = 29,749.20

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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.