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Finding the Fourth Proportional to 19,686.56, 29,529.83 and 7,201.17

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Solution

The fourth proportional to 19,686.56, 29,529.83 and 7,201.17 is: 10,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.56 : 29,529.83 = 7,201.17 : x
  2. Step 2: Convert to fraction form
    19,686.56/29,529.83 = 7,201.17/x
  3. Step 3: Cross multiply
    19,686.56x = 29,529.83 × 7,201.17
  4. Step 4: Simplify right side
    19,686.56x = 212,649,289.90
  5. Step 5: Solve for x
    x = 212,649,289.90/19,686.56
  6. Step 6: Final answer
    x = 10,801.75

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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.