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Finding the Fourth Proportional to 14,706.12, 22,046.77 and 6,379.86

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Solution

The fourth proportional to 14,706.12, 22,046.77 and 6,379.86 is: 9,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.12 : 22,046.77 = 6,379.86 : x
  2. Step 2: Convert to fraction form
    14,706.12/22,046.77 = 6,379.86/x
  3. Step 3: Cross multiply
    14,706.12x = 22,046.77 × 6,379.86
  4. Step 4: Simplify right side
    14,706.12x = 140,655,306.05
  5. Step 5: Solve for x
    x = 140,655,306.05/14,706.12
  6. Step 6: Final answer
    x = 9,564.41

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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.