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Finding the Fourth Proportional to 12,427.12, 18,640.05 and 4,635.32

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Solution

The fourth proportional to 12,427.12, 18,640.05 and 4,635.32 is: 6,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.12 : 18,640.05 = 4,635.32 : x
  2. Step 2: Convert to fraction form
    12,427.12/18,640.05 = 4,635.32/x
  3. Step 3: Cross multiply
    12,427.12x = 18,640.05 × 4,635.32
  4. Step 4: Simplify right side
    12,427.12x = 86,402,596.57
  5. Step 5: Solve for x
    x = 86,402,596.57/12,427.12
  6. Step 6: Final answer
    x = 6,952.75

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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.