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Finding the Fourth Proportional to 16,688.01, 25,017.48 and 6,821

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Solution

The fourth proportional to 16,688.01, 25,017.48 and 6,821 is: 10,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,688.01 : 25,017.48 = 6,821 : x
  2. Step 2: Convert to fraction form
    16,688.01/25,017.48 = 6,821/x
  3. Step 3: Cross multiply
    16,688.01x = 25,017.48 × 6,821
  4. Step 4: Simplify right side
    16,688.01x = 170,644,231.08
  5. Step 5: Solve for x
    x = 170,644,231.08/16,688.01
  6. Step 6: Final answer
    x = 10,225.56

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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.