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Finding the Fourth Proportional to 21,120.74, 31,685.06 and 7,797.20

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Solution

The fourth proportional to 21,120.74, 31,685.06 and 7,797.20 is: 11,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.74 : 31,685.06 = 7,797.20 : x
  2. Step 2: Convert to fraction form
    21,120.74/31,685.06 = 7,797.20/x
  3. Step 3: Cross multiply
    21,120.74x = 31,685.06 × 7,797.20
  4. Step 4: Simplify right side
    21,120.74x = 247,054,749.83
  5. Step 5: Solve for x
    x = 247,054,749.83/21,120.74
  6. Step 6: Final answer
    x = 11,697.26

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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.