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Finding the Fourth Proportional to 16,140.19, 24,202.72 and 6,778.21

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Solution

The fourth proportional to 16,140.19, 24,202.72 and 6,778.21 is: 10,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.19 : 24,202.72 = 6,778.21 : x
  2. Step 2: Convert to fraction form
    16,140.19/24,202.72 = 6,778.21/x
  3. Step 3: Cross multiply
    16,140.19x = 24,202.72 × 6,778.21
  4. Step 4: Simplify right side
    16,140.19x = 164,051,118.73
  5. Step 5: Solve for x
    x = 164,051,118.73/16,140.19
  6. Step 6: Final answer
    x = 10,164.14

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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.