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Finding the Fourth Proportional to 22,102.68, 30,491.40 and 13,145.16

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Solution

The fourth proportional to 22,102.68, 30,491.40 and 13,145.16 is: 18,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.68 : 30,491.40 = 13,145.16 : x
  2. Step 2: Convert to fraction form
    22,102.68/30,491.40 = 13,145.16/x
  3. Step 3: Cross multiply
    22,102.68x = 30,491.40 × 13,145.16
  4. Step 4: Simplify right side
    22,102.68x = 400,814,331.62
  5. Step 5: Solve for x
    x = 400,814,331.62/22,102.68
  6. Step 6: Final answer
    x = 18,134.20

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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.