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Finding the Fourth Proportional to 13,188.50, 18,199.26 and 7,220.24

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Solution

The fourth proportional to 13,188.50, 18,199.26 and 7,220.24 is: 9,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.50 : 18,199.26 = 7,220.24 : x
  2. Step 2: Convert to fraction form
    13,188.50/18,199.26 = 7,220.24/x
  3. Step 3: Cross multiply
    13,188.50x = 18,199.26 × 7,220.24
  4. Step 4: Simplify right side
    13,188.50x = 131,403,025.02
  5. Step 5: Solve for x
    x = 131,403,025.02/13,188.50
  6. Step 6: Final answer
    x = 9,963.45

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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.