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Finding the Fourth Proportional to 12,185.17, 18,278.46 and 3,420.77

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Solution

The fourth proportional to 12,185.17, 18,278.46 and 3,420.77 is: 5,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.17 : 18,278.46 = 3,420.77 : x
  2. Step 2: Convert to fraction form
    12,185.17/18,278.46 = 3,420.77/x
  3. Step 3: Cross multiply
    12,185.17x = 18,278.46 × 3,420.77
  4. Step 4: Simplify right side
    12,185.17x = 62,526,316.22
  5. Step 5: Solve for x
    x = 62,526,316.22/12,185.17
  6. Step 6: Final answer
    x = 5,131.35

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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.