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Finding the Fourth Proportional to 23,714.26, 35,591.84 and 13,194.79

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Solution

The fourth proportional to 23,714.26, 35,591.84 and 13,194.79 is: 19,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.26 : 35,591.84 = 13,194.79 : x
  2. Step 2: Convert to fraction form
    23,714.26/35,591.84 = 13,194.79/x
  3. Step 3: Cross multiply
    23,714.26x = 35,591.84 × 13,194.79
  4. Step 4: Simplify right side
    23,714.26x = 469,626,854.51
  5. Step 5: Solve for x
    x = 469,626,854.51/23,714.26
  6. Step 6: Final answer
    x = 19,803.56

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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.