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Finding the Fourth Proportional to 13,164.91, 18,168.02 and 7,196.46

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Solution

The fourth proportional to 13,164.91, 18,168.02 and 7,196.46 is: 9,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.91 : 18,168.02 = 7,196.46 : x
  2. Step 2: Convert to fraction form
    13,164.91/18,168.02 = 7,196.46/x
  3. Step 3: Cross multiply
    13,164.91x = 18,168.02 × 7,196.46
  4. Step 4: Simplify right side
    13,164.91x = 130,745,429.21
  5. Step 5: Solve for x
    x = 130,745,429.21/13,164.91
  6. Step 6: Final answer
    x = 9,931.36

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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.