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Finding the Fourth Proportional to 13,191.94, 18,196.47 and 9,211.60

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Solution

The fourth proportional to 13,191.94, 18,196.47 and 9,211.60 is: 12,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.94 : 18,196.47 = 9,211.60 : x
  2. Step 2: Convert to fraction form
    13,191.94/18,196.47 = 9,211.60/x
  3. Step 3: Cross multiply
    13,191.94x = 18,196.47 × 9,211.60
  4. Step 4: Simplify right side
    13,191.94x = 167,618,603.05
  5. Step 5: Solve for x
    x = 167,618,603.05/13,191.94
  6. Step 6: Final answer
    x = 12,706.14

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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.