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Finding the Fourth Proportional to 13,203.86, 18,221.16 and 7,235.18

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Solution

The fourth proportional to 13,203.86, 18,221.16 and 7,235.18 is: 9,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.86 : 18,221.16 = 7,235.18 : x
  2. Step 2: Convert to fraction form
    13,203.86/18,221.16 = 7,235.18/x
  3. Step 3: Cross multiply
    13,203.86x = 18,221.16 × 7,235.18
  4. Step 4: Simplify right side
    13,203.86x = 131,833,372.41
  5. Step 5: Solve for x
    x = 131,833,372.41/13,203.86
  6. Step 6: Final answer
    x = 9,984.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.