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Finding the Fourth Proportional to 15,714.29, 23,573.87 and 9,786.60

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Solution

The fourth proportional to 15,714.29, 23,573.87 and 9,786.60 is: 14,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.29 : 23,573.87 = 9,786.60 : x
  2. Step 2: Convert to fraction form
    15,714.29/23,573.87 = 9,786.60/x
  3. Step 3: Cross multiply
    15,714.29x = 23,573.87 × 9,786.60
  4. Step 4: Simplify right side
    15,714.29x = 230,707,987.21
  5. Step 5: Solve for x
    x = 230,707,987.21/15,714.29
  6. Step 6: Final answer
    x = 14,681.42

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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.