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Finding the Fourth Proportional to 27,834.59, 38,413.29 and 15,900.40

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Solution

The fourth proportional to 27,834.59, 38,413.29 and 15,900.40 is: 21,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.59 : 38,413.29 = 15,900.40 : x
  2. Step 2: Convert to fraction form
    27,834.59/38,413.29 = 15,900.40/x
  3. Step 3: Cross multiply
    27,834.59x = 38,413.29 × 15,900.40
  4. Step 4: Simplify right side
    27,834.59x = 610,786,694.52
  5. Step 5: Solve for x
    x = 610,786,694.52/27,834.59
  6. Step 6: Final answer
    x = 21,943.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.