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Finding the Fourth Proportional to 13,196.81, 18,211.60 and 7,228.49

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Solution

The fourth proportional to 13,196.81, 18,211.60 and 7,228.49 is: 9,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.81 : 18,211.60 = 7,228.49 : x
  2. Step 2: Convert to fraction form
    13,196.81/18,211.60 = 7,228.49/x
  3. Step 3: Cross multiply
    13,196.81x = 18,211.60 × 7,228.49
  4. Step 4: Simplify right side
    13,196.81x = 131,642,332.34
  5. Step 5: Solve for x
    x = 131,642,332.34/13,196.81
  6. Step 6: Final answer
    x = 9,975.32

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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.