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Finding the Fourth Proportional to 13,188.14, 18,199.05 and 7,220.06

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Solution

The fourth proportional to 13,188.14, 18,199.05 and 7,220.06 is: 9,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.14 : 18,199.05 = 7,220.06 : x
  2. Step 2: Convert to fraction form
    13,188.14/18,199.05 = 7,220.06/x
  3. Step 3: Cross multiply
    13,188.14x = 18,199.05 × 7,220.06
  4. Step 4: Simplify right side
    13,188.14x = 131,398,232.94
  5. Step 5: Solve for x
    x = 131,398,232.94/13,188.14
  6. Step 6: Final answer
    x = 9,963.36

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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.