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Finding the Fourth Proportional to 13,422.26, 18,522.13 and 7,453.46

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Solution

The fourth proportional to 13,422.26, 18,522.13 and 7,453.46 is: 10,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.26 : 18,522.13 = 7,453.46 : x
  2. Step 2: Convert to fraction form
    13,422.26/18,522.13 = 7,453.46/x
  3. Step 3: Cross multiply
    13,422.26x = 18,522.13 × 7,453.46
  4. Step 4: Simplify right side
    13,422.26x = 138,053,955.07
  5. Step 5: Solve for x
    x = 138,053,955.07/13,422.26
  6. Step 6: Final answer
    x = 10,285.45

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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.