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Finding the Fourth Proportional to 16,134.18, 24,210.78 and 6,775.84

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Solution

The fourth proportional to 16,134.18, 24,210.78 and 6,775.84 is: 10,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.18 : 24,210.78 = 6,775.84 : x
  2. Step 2: Convert to fraction form
    16,134.18/24,210.78 = 6,775.84/x
  3. Step 3: Cross multiply
    16,134.18x = 24,210.78 × 6,775.84
  4. Step 4: Simplify right side
    16,134.18x = 164,048,371.56
  5. Step 5: Solve for x
    x = 164,048,371.56/16,134.18
  6. Step 6: Final answer
    x = 10,167.75

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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.