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Finding the Fourth Proportional to 13,164.81, 18,167.70 and 7,196.85

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Solution

The fourth proportional to 13,164.81, 18,167.70 and 7,196.85 is: 9,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.81 : 18,167.70 = 7,196.85 : x
  2. Step 2: Convert to fraction form
    13,164.81/18,167.70 = 7,196.85/x
  3. Step 3: Cross multiply
    13,164.81x = 18,167.70 × 7,196.85
  4. Step 4: Simplify right side
    13,164.81x = 130,750,211.75
  5. Step 5: Solve for x
    x = 130,750,211.75/13,164.81
  6. Step 6: Final answer
    x = 9,931.80

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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.