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Finding the Fourth Proportional to 23,714.42, 32,725.44 and 13,103.82

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Solution

The fourth proportional to 23,714.42, 32,725.44 and 13,103.82 is: 18,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.42 : 32,725.44 = 13,103.82 : x
  2. Step 2: Convert to fraction form
    23,714.42/32,725.44 = 13,103.82/x
  3. Step 3: Cross multiply
    23,714.42x = 32,725.44 × 13,103.82
  4. Step 4: Simplify right side
    23,714.42x = 428,828,275.18
  5. Step 5: Solve for x
    x = 428,828,275.18/23,714.42
  6. Step 6: Final answer
    x = 18,083.02

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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.