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Finding the Fourth Proportional to 27,602.46, 41,403.58 and 6,825.96

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Solution

The fourth proportional to 27,602.46, 41,403.58 and 6,825.96 is: 10,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.46 : 41,403.58 = 6,825.96 : x
  2. Step 2: Convert to fraction form
    27,602.46/41,403.58 = 6,825.96/x
  3. Step 3: Cross multiply
    27,602.46x = 41,403.58 × 6,825.96
  4. Step 4: Simplify right side
    27,602.46x = 282,619,180.94
  5. Step 5: Solve for x
    x = 282,619,180.94/27,602.46
  6. Step 6: Final answer
    x = 10,238.91

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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.