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Finding the Fourth Proportional to 20,180, 30,275.36 and 7,032.96

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Solution

The fourth proportional to 20,180, 30,275.36 and 7,032.96 is: 10,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180 : 30,275.36 = 7,032.96 : x
  2. Step 2: Convert to fraction form
    20,180/30,275.36 = 7,032.96/x
  3. Step 3: Cross multiply
    20,180x = 30,275.36 × 7,032.96
  4. Step 4: Simplify right side
    20,180x = 212,925,395.87
  5. Step 5: Solve for x
    x = 212,925,395.87/20,180
  6. Step 6: Final answer
    x = 10,551.31

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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.