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Finding the Fourth Proportional to 21,182.56, 31,775.36 and 5,600

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Solution

The fourth proportional to 21,182.56, 31,775.36 and 5,600 is: 8,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.56 : 31,775.36 = 5,600 : x
  2. Step 2: Convert to fraction form
    21,182.56/31,775.36 = 5,600/x
  3. Step 3: Cross multiply
    21,182.56x = 31,775.36 × 5,600
  4. Step 4: Simplify right side
    21,182.56x = 177,942,016
  5. Step 5: Solve for x
    x = 177,942,016/21,182.56
  6. Step 6: Final answer
    x = 8,400.40

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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.