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Finding the Fourth Proportional to 13,642.26, 18,825.93 and 8,336.22

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Solution

The fourth proportional to 13,642.26, 18,825.93 and 8,336.22 is: 11,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.26 : 18,825.93 = 8,336.22 : x
  2. Step 2: Convert to fraction form
    13,642.26/18,825.93 = 8,336.22/x
  3. Step 3: Cross multiply
    13,642.26x = 18,825.93 × 8,336.22
  4. Step 4: Simplify right side
    13,642.26x = 156,937,094.18
  5. Step 5: Solve for x
    x = 156,937,094.18/13,642.26
  6. Step 6: Final answer
    x = 11,503.75

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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.