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Finding the Fourth Proportional to 21,613.20, 32,192.50 and 20,602

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Solution

The fourth proportional to 21,613.20, 32,192.50 and 20,602 is: 30,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.20 : 32,192.50 = 20,602 : x
  2. Step 2: Convert to fraction form
    21,613.20/32,192.50 = 20,602/x
  3. Step 3: Cross multiply
    21,613.20x = 32,192.50 × 20,602
  4. Step 4: Simplify right side
    21,613.20x = 663,229,885
  5. Step 5: Solve for x
    x = 663,229,885/21,613.20
  6. Step 6: Final answer
    x = 30,686.33

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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.