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Finding the Fourth Proportional to 22,710.50, 34,050.98 and 10,857.86

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Solution

The fourth proportional to 22,710.50, 34,050.98 and 10,857.86 is: 16,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.50 : 34,050.98 = 10,857.86 : x
  2. Step 2: Convert to fraction form
    22,710.50/34,050.98 = 10,857.86/x
  3. Step 3: Cross multiply
    22,710.50x = 34,050.98 × 10,857.86
  4. Step 4: Simplify right side
    22,710.50x = 369,720,773.70
  5. Step 5: Solve for x
    x = 369,720,773.70/22,710.50
  6. Step 6: Final answer
    x = 16,279.73

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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.