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Finding the Fourth Proportional to 21,604.10, 32,406.15 and 20,146.10

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Solution

The fourth proportional to 21,604.10, 32,406.15 and 20,146.10 is: 30,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,604.10 : 32,406.15 = 20,146.10 : x
  2. Step 2: Convert to fraction form
    21,604.10/32,406.15 = 20,146.10/x
  3. Step 3: Cross multiply
    21,604.10x = 32,406.15 × 20,146.10
  4. Step 4: Simplify right side
    21,604.10x = 652,857,538.52
  5. Step 5: Solve for x
    x = 652,857,538.52/21,604.10
  6. Step 6: Final answer
    x = 30,219.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.