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Finding the Fourth Proportional to 15,714.60, 23,576.96 and 5,855.28

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Solution

The fourth proportional to 15,714.60, 23,576.96 and 5,855.28 is: 8,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.60 : 23,576.96 = 5,855.28 : x
  2. Step 2: Convert to fraction form
    15,714.60/23,576.96 = 5,855.28/x
  3. Step 3: Cross multiply
    15,714.60x = 23,576.96 × 5,855.28
  4. Step 4: Simplify right side
    15,714.60x = 138,049,702.35
  5. Step 5: Solve for x
    x = 138,049,702.35/15,714.60
  6. Step 6: Final answer
    x = 8,784.81

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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.