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Finding the Fourth Proportional to 16,820.65, 25,212.11 and 6,823.07

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Solution

The fourth proportional to 16,820.65, 25,212.11 and 6,823.07 is: 10,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.65 : 25,212.11 = 6,823.07 : x
  2. Step 2: Convert to fraction form
    16,820.65/25,212.11 = 6,823.07/x
  3. Step 3: Cross multiply
    16,820.65x = 25,212.11 × 6,823.07
  4. Step 4: Simplify right side
    16,820.65x = 172,023,964.13
  5. Step 5: Solve for x
    x = 172,023,964.13/16,820.65
  6. Step 6: Final answer
    x = 10,226.95

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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.