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Finding the Fourth Proportional to 16,939.68, 25,417.62 and 6,549

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Solution

The fourth proportional to 16,939.68, 25,417.62 and 6,549 is: 9,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,939.68 : 25,417.62 = 6,549 : x
  2. Step 2: Convert to fraction form
    16,939.68/25,417.62 = 6,549/x
  3. Step 3: Cross multiply
    16,939.68x = 25,417.62 × 6,549
  4. Step 4: Simplify right side
    16,939.68x = 166,459,993.38
  5. Step 5: Solve for x
    x = 166,459,993.38/16,939.68
  6. Step 6: Final answer
    x = 9,826.63

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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.