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Finding the Fourth Proportional to 12,032.55, 18,051.78 and 4,135.18

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Solution

The fourth proportional to 12,032.55, 18,051.78 and 4,135.18 is: 6,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.55 : 18,051.78 = 4,135.18 : x
  2. Step 2: Convert to fraction form
    12,032.55/18,051.78 = 4,135.18/x
  3. Step 3: Cross multiply
    12,032.55x = 18,051.78 × 4,135.18
  4. Step 4: Simplify right side
    12,032.55x = 74,647,359.62
  5. Step 5: Solve for x
    x = 74,647,359.62/12,032.55
  6. Step 6: Final answer
    x = 6,203.79

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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.