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Finding the Fourth Proportional to 22,759.86, 34,145.19 and 7,177.47

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Solution

The fourth proportional to 22,759.86, 34,145.19 and 7,177.47 is: 10,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.86 : 34,145.19 = 7,177.47 : x
  2. Step 2: Convert to fraction form
    22,759.86/34,145.19 = 7,177.47/x
  3. Step 3: Cross multiply
    22,759.86x = 34,145.19 × 7,177.47
  4. Step 4: Simplify right side
    22,759.86x = 245,076,076.87
  5. Step 5: Solve for x
    x = 245,076,076.87/22,759.86
  6. Step 6: Final answer
    x = 10,767.91

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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.