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Finding the Fourth Proportional to 27,603.48, 41,411.70 and 7,882.32

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Solution

The fourth proportional to 27,603.48, 41,411.70 and 7,882.32 is: 11,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,603.48 : 41,411.70 = 7,882.32 : x
  2. Step 2: Convert to fraction form
    27,603.48/41,411.70 = 7,882.32/x
  3. Step 3: Cross multiply
    27,603.48x = 41,411.70 × 7,882.32
  4. Step 4: Simplify right side
    27,603.48x = 326,420,271.14
  5. Step 5: Solve for x
    x = 326,420,271.14/27,603.48
  6. Step 6: Final answer
    x = 11,825.33

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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.