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Finding the Fourth Proportional to 16,139.02, 24,218 and 6,778.32

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Solution

The fourth proportional to 16,139.02, 24,218 and 6,778.32 is: 10,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.02 : 24,218 = 6,778.32 : x
  2. Step 2: Convert to fraction form
    16,139.02/24,218 = 6,778.32/x
  3. Step 3: Cross multiply
    16,139.02x = 24,218 × 6,778.32
  4. Step 4: Simplify right side
    16,139.02x = 164,157,353.76
  5. Step 5: Solve for x
    x = 164,157,353.76/16,139.02
  6. Step 6: Final answer
    x = 10,171.46

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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.