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Finding the Fourth Proportional to 13,775.31, 20,665.86 and 7,199.73

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Solution

The fourth proportional to 13,775.31, 20,665.86 and 7,199.73 is: 10,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.31 : 20,665.86 = 7,199.73 : x
  2. Step 2: Convert to fraction form
    13,775.31/20,665.86 = 7,199.73/x
  3. Step 3: Cross multiply
    13,775.31x = 20,665.86 × 7,199.73
  4. Step 4: Simplify right side
    13,775.31x = 148,788,612.22
  5. Step 5: Solve for x
    x = 148,788,612.22/13,775.31
  6. Step 6: Final answer
    x = 10,801.11

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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.