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Finding the Fourth Proportional to 12,365.73, 18,536.22 and 6,130.31

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Solution

The fourth proportional to 12,365.73, 18,536.22 and 6,130.31 is: 9,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.73 : 18,536.22 = 6,130.31 : x
  2. Step 2: Convert to fraction form
    12,365.73/18,536.22 = 6,130.31/x
  3. Step 3: Cross multiply
    12,365.73x = 18,536.22 × 6,130.31
  4. Step 4: Simplify right side
    12,365.73x = 113,632,682.15
  5. Step 5: Solve for x
    x = 113,632,682.15/12,365.73
  6. Step 6: Final answer
    x = 9,189.32

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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.