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Finding the Fourth Proportional to 22,688.64, 31,305.74 and 13,255.38

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Solution

The fourth proportional to 22,688.64, 31,305.74 and 13,255.38 is: 18,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688.64 : 31,305.74 = 13,255.38 : x
  2. Step 2: Convert to fraction form
    22,688.64/31,305.74 = 13,255.38/x
  3. Step 3: Cross multiply
    22,688.64x = 31,305.74 × 13,255.38
  4. Step 4: Simplify right side
    22,688.64x = 414,969,413.60
  5. Step 5: Solve for x
    x = 414,969,413.60/22,688.64
  6. Step 6: Final answer
    x = 18,289.74

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Why These Related Problems?

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