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Finding the Fourth Proportional to 12,185.55, 18,264.31 and 5,597.90

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Solution

The fourth proportional to 12,185.55, 18,264.31 and 5,597.90 is: 8,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.55 : 18,264.31 = 5,597.90 : x
  2. Step 2: Convert to fraction form
    12,185.55/18,264.31 = 5,597.90/x
  3. Step 3: Cross multiply
    12,185.55x = 18,264.31 × 5,597.90
  4. Step 4: Simplify right side
    12,185.55x = 102,241,707.12
  5. Step 5: Solve for x
    x = 102,241,707.12/12,185.55
  6. Step 6: Final answer
    x = 8,390.41

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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.