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Finding the Fourth Proportional to 14,778.69, 22,156.31 and 8,531.64

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Solution

The fourth proportional to 14,778.69, 22,156.31 and 8,531.64 is: 12,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.69 : 22,156.31 = 8,531.64 : x
  2. Step 2: Convert to fraction form
    14,778.69/22,156.31 = 8,531.64/x
  3. Step 3: Cross multiply
    14,778.69x = 22,156.31 × 8,531.64
  4. Step 4: Simplify right side
    14,778.69x = 189,029,617.99
  5. Step 5: Solve for x
    x = 189,029,617.99/14,778.69
  6. Step 6: Final answer
    x = 12,790.69

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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.