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Finding the Fourth Proportional to 20,702.43, 31,053.68 and 7,551.74

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Solution

The fourth proportional to 20,702.43, 31,053.68 and 7,551.74 is: 11,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.43 : 31,053.68 = 7,551.74 : x
  2. Step 2: Convert to fraction form
    20,702.43/31,053.68 = 7,551.74/x
  3. Step 3: Cross multiply
    20,702.43x = 31,053.68 × 7,551.74
  4. Step 4: Simplify right side
    20,702.43x = 234,509,413.92
  5. Step 5: Solve for x
    x = 234,509,413.92/20,702.43
  6. Step 6: Final answer
    x = 11,327.63

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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.