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Finding the Fourth Proportional to 13,894.68, 20,842.26 and 4,534.80

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Solution

The fourth proportional to 13,894.68, 20,842.26 and 4,534.80 is: 6,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.68 : 20,842.26 = 4,534.80 : x
  2. Step 2: Convert to fraction form
    13,894.68/20,842.26 = 4,534.80/x
  3. Step 3: Cross multiply
    13,894.68x = 20,842.26 × 4,534.80
  4. Step 4: Simplify right side
    13,894.68x = 94,515,480.65
  5. Step 5: Solve for x
    x = 94,515,480.65/13,894.68
  6. Step 6: Final answer
    x = 6,802.28

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