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Finding the Fourth Proportional to 16,821.90, 25,205.04 and 10,228.14

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Solution

The fourth proportional to 16,821.90, 25,205.04 and 10,228.14 is: 15,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.90 : 25,205.04 = 10,228.14 : x
  2. Step 2: Convert to fraction form
    16,821.90/25,205.04 = 10,228.14/x
  3. Step 3: Cross multiply
    16,821.90x = 25,205.04 × 10,228.14
  4. Step 4: Simplify right side
    16,821.90x = 257,800,677.83
  5. Step 5: Solve for x
    x = 257,800,677.83/16,821.90
  6. Step 6: Final answer
    x = 15,325.30

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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.