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Finding the Fourth Proportional to 12,193.64, 18,293.02 and 3,985

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Solution

The fourth proportional to 12,193.64, 18,293.02 and 3,985 is: 5,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.64 : 18,293.02 = 3,985 : x
  2. Step 2: Convert to fraction form
    12,193.64/18,293.02 = 3,985/x
  3. Step 3: Cross multiply
    12,193.64x = 18,293.02 × 3,985
  4. Step 4: Simplify right side
    12,193.64x = 72,897,684.70
  5. Step 5: Solve for x
    x = 72,897,684.70/12,193.64
  6. Step 6: Final answer
    x = 5,978.34

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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.