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Finding the Fourth Proportional to 12,001.80, 16,558.11 and 7,464.18

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Solution

The fourth proportional to 12,001.80, 16,558.11 and 7,464.18 is: 10,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.80 : 16,558.11 = 7,464.18 : x
  2. Step 2: Convert to fraction form
    12,001.80/16,558.11 = 7,464.18/x
  3. Step 3: Cross multiply
    12,001.80x = 16,558.11 × 7,464.18
  4. Step 4: Simplify right side
    12,001.80x = 123,592,713.50
  5. Step 5: Solve for x
    x = 123,592,713.50/12,001.80
  6. Step 6: Final answer
    x = 10,297.85

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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.