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Finding the Fourth Proportional to 23,714.84, 35,560.38 and 13,857.68

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Solution

The fourth proportional to 23,714.84, 35,560.38 and 13,857.68 is: 20,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.84 : 35,560.38 = 13,857.68 : x
  2. Step 2: Convert to fraction form
    23,714.84/35,560.38 = 13,857.68/x
  3. Step 3: Cross multiply
    23,714.84x = 35,560.38 × 13,857.68
  4. Step 4: Simplify right side
    23,714.84x = 492,784,366.72
  5. Step 5: Solve for x
    x = 492,784,366.72/23,714.84
  6. Step 6: Final answer
    x = 20,779.58

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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.