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Finding the Fourth Proportional to 13,164.82, 18,167.45 and 7,196.53

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Solution

The fourth proportional to 13,164.82, 18,167.45 and 7,196.53 is: 9,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.82 : 18,167.45 = 7,196.53 : x
  2. Step 2: Convert to fraction form
    13,164.82/18,167.45 = 7,196.53/x
  3. Step 3: Cross multiply
    13,164.82x = 18,167.45 × 7,196.53
  4. Step 4: Simplify right side
    13,164.82x = 130,742,640.53
  5. Step 5: Solve for x
    x = 130,742,640.53/13,164.82
  6. Step 6: Final answer
    x = 9,931.21

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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.