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Finding the Fourth Proportional to 27,931.14, 41,901.03 and 13,141.62

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Solution

The fourth proportional to 27,931.14, 41,901.03 and 13,141.62 is: 19,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.14 : 41,901.03 = 13,141.62 : x
  2. Step 2: Convert to fraction form
    27,931.14/41,901.03 = 13,141.62/x
  3. Step 3: Cross multiply
    27,931.14x = 41,901.03 × 13,141.62
  4. Step 4: Simplify right side
    27,931.14x = 550,647,413.87
  5. Step 5: Solve for x
    x = 550,647,413.87/27,931.14
  6. Step 6: Final answer
    x = 19,714.46

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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.