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Finding the Fourth Proportional to 13,142.70, 18,127.35 and 9,308.22

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Solution

The fourth proportional to 13,142.70, 18,127.35 and 9,308.22 is: 12,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.70 : 18,127.35 = 9,308.22 : x
  2. Step 2: Convert to fraction form
    13,142.70/18,127.35 = 9,308.22/x
  3. Step 3: Cross multiply
    13,142.70x = 18,127.35 × 9,308.22
  4. Step 4: Simplify right side
    13,142.70x = 168,733,361.82
  5. Step 5: Solve for x
    x = 168,733,361.82/13,142.70
  6. Step 6: Final answer
    x = 12,838.56

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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.