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Finding the Fourth Proportional to 12,235.41, 18,365.27 and 5,663.07

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Solution

The fourth proportional to 12,235.41, 18,365.27 and 5,663.07 is: 8,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.41 : 18,365.27 = 5,663.07 : x
  2. Step 2: Convert to fraction form
    12,235.41/18,365.27 = 5,663.07/x
  3. Step 3: Cross multiply
    12,235.41x = 18,365.27 × 5,663.07
  4. Step 4: Simplify right side
    12,235.41x = 104,003,781.26
  5. Step 5: Solve for x
    x = 104,003,781.26/12,235.41
  6. Step 6: Final answer
    x = 8,500.23

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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.