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Finding the Fourth Proportional to 12,015.42, 18,005.85 and 6,810.30

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Solution

The fourth proportional to 12,015.42, 18,005.85 and 6,810.30 is: 10,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.42 : 18,005.85 = 6,810.30 : x
  2. Step 2: Convert to fraction form
    12,015.42/18,005.85 = 6,810.30/x
  3. Step 3: Cross multiply
    12,015.42x = 18,005.85 × 6,810.30
  4. Step 4: Simplify right side
    12,015.42x = 122,625,240.26
  5. Step 5: Solve for x
    x = 122,625,240.26/12,015.42
  6. Step 6: Final answer
    x = 10,205.66

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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.