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Finding the Fourth Proportional to 12,298.50, 18,447.75 and 3,985.47

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Solution

The fourth proportional to 12,298.50, 18,447.75 and 3,985.47 is: 5,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.50 : 18,447.75 = 3,985.47 : x
  2. Step 2: Convert to fraction form
    12,298.50/18,447.75 = 3,985.47/x
  3. Step 3: Cross multiply
    12,298.50x = 18,447.75 × 3,985.47
  4. Step 4: Simplify right side
    12,298.50x = 73,522,954.19
  5. Step 5: Solve for x
    x = 73,522,954.19/12,298.50
  6. Step 6: Final answer
    x = 5,978.21

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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.