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Finding the Fourth Proportional to 18,413.96, 27,635.52 and 8,033

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Solution

The fourth proportional to 18,413.96, 27,635.52 and 8,033 is: 12,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413.96 : 27,635.52 = 8,033 : x
  2. Step 2: Convert to fraction form
    18,413.96/27,635.52 = 8,033/x
  3. Step 3: Cross multiply
    18,413.96x = 27,635.52 × 8,033
  4. Step 4: Simplify right side
    18,413.96x = 221,996,132.16
  5. Step 5: Solve for x
    x = 221,996,132.16/18,413.96
  6. Step 6: Final answer
    x = 12,055.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.