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Finding the Fourth Proportional to 12,285.16, 18,427.10 and 3,965.02

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Solution

The fourth proportional to 12,285.16, 18,427.10 and 3,965.02 is: 5,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.16 : 18,427.10 = 3,965.02 : x
  2. Step 2: Convert to fraction form
    12,285.16/18,427.10 = 3,965.02/x
  3. Step 3: Cross multiply
    12,285.16x = 18,427.10 × 3,965.02
  4. Step 4: Simplify right side
    12,285.16x = 73,063,820.04
  5. Step 5: Solve for x
    x = 73,063,820.04/12,285.16
  6. Step 6: Final answer
    x = 5,947.32

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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.