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Finding the Fourth Proportional to 21,615.20, 32,195.48 and 20,604

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Solution

The fourth proportional to 21,615.20, 32,195.48 and 20,604 is: 30,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.20 : 32,195.48 = 20,604 : x
  2. Step 2: Convert to fraction form
    21,615.20/32,195.48 = 20,604/x
  3. Step 3: Cross multiply
    21,615.20x = 32,195.48 × 20,604
  4. Step 4: Simplify right side
    21,615.20x = 663,355,669.92
  5. Step 5: Solve for x
    x = 663,355,669.92/21,615.20
  6. Step 6: Final answer
    x = 30,689.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.