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Finding the Fourth Proportional to 20,714.24, 31,083.24 and 7,564.88

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Solution

The fourth proportional to 20,714.24, 31,083.24 and 7,564.88 is: 11,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.24 : 31,083.24 = 7,564.88 : x
  2. Step 2: Convert to fraction form
    20,714.24/31,083.24 = 7,564.88/x
  3. Step 3: Cross multiply
    20,714.24x = 31,083.24 × 7,564.88
  4. Step 4: Simplify right side
    20,714.24x = 235,140,980.61
  5. Step 5: Solve for x
    x = 235,140,980.61/20,714.24
  6. Step 6: Final answer
    x = 11,351.66

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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.