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Finding the Fourth Proportional to 13,402.31, 18,496.24 and 7,435.13

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Solution

The fourth proportional to 13,402.31, 18,496.24 and 7,435.13 is: 10,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.31 : 18,496.24 = 7,435.13 : x
  2. Step 2: Convert to fraction form
    13,402.31/18,496.24 = 7,435.13/x
  3. Step 3: Cross multiply
    13,402.31x = 18,496.24 × 7,435.13
  4. Step 4: Simplify right side
    13,402.31x = 137,521,976.56
  5. Step 5: Solve for x
    x = 137,521,976.56/13,402.31
  6. Step 6: Final answer
    x = 10,261.07

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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.