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Finding the Fourth Proportional to 13,893.53, 20,842.29 and 4,531.23

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Solution

The fourth proportional to 13,893.53, 20,842.29 and 4,531.23 is: 6,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.53 : 20,842.29 = 4,531.23 : x
  2. Step 2: Convert to fraction form
    13,893.53/20,842.29 = 4,531.23/x
  3. Step 3: Cross multiply
    13,893.53x = 20,842.29 × 4,531.23
  4. Step 4: Simplify right side
    13,893.53x = 94,441,209.72
  5. Step 5: Solve for x
    x = 94,441,209.72/13,893.53
  6. Step 6: Final answer
    x = 6,797.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.