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Finding the Fourth Proportional to 13,135.84, 18,127 and 7,471.36

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Solution

The fourth proportional to 13,135.84, 18,127 and 7,471.36 is: 10,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.84 : 18,127 = 7,471.36 : x
  2. Step 2: Convert to fraction form
    13,135.84/18,127 = 7,471.36/x
  3. Step 3: Cross multiply
    13,135.84x = 18,127 × 7,471.36
  4. Step 4: Simplify right side
    13,135.84x = 135,433,342.72
  5. Step 5: Solve for x
    x = 135,433,342.72/13,135.84
  6. Step 6: Final answer
    x = 10,310.22

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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.