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Finding the Fourth Proportional to 16,077.40, 22,186.78 and 9,003.82

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Solution

The fourth proportional to 16,077.40, 22,186.78 and 9,003.82 is: 12,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.40 : 22,186.78 = 9,003.82 : x
  2. Step 2: Convert to fraction form
    16,077.40/22,186.78 = 9,003.82/x
  3. Step 3: Cross multiply
    16,077.40x = 22,186.78 × 9,003.82
  4. Step 4: Simplify right side
    16,077.40x = 199,765,773.50
  5. Step 5: Solve for x
    x = 199,765,773.50/16,077.40
  6. Step 6: Final answer
    x = 12,425.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.