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Finding the Fourth Proportional to 16,138.77, 24,186.25 and 7,802.18

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Solution

The fourth proportional to 16,138.77, 24,186.25 and 7,802.18 is: 11,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.77 : 24,186.25 = 7,802.18 : x
  2. Step 2: Convert to fraction form
    16,138.77/24,186.25 = 7,802.18/x
  3. Step 3: Cross multiply
    16,138.77x = 24,186.25 × 7,802.18
  4. Step 4: Simplify right side
    16,138.77x = 188,705,476.03
  5. Step 5: Solve for x
    x = 188,705,476.03/16,138.77
  6. Step 6: Final answer
    x = 11,692.68

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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.