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Finding the Fourth Proportional to 20,717.76, 31,076.22 and 7,566.60

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Solution

The fourth proportional to 20,717.76, 31,076.22 and 7,566.60 is: 11,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,717.76 : 31,076.22 = 7,566.60 : x
  2. Step 2: Convert to fraction form
    20,717.76/31,076.22 = 7,566.60/x
  3. Step 3: Cross multiply
    20,717.76x = 31,076.22 × 7,566.60
  4. Step 4: Simplify right side
    20,717.76x = 235,141,326.25
  5. Step 5: Solve for x
    x = 235,141,326.25/20,717.76
  6. Step 6: Final answer
    x = 11,349.75

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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.