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Finding the Fourth Proportional to 19,149.53, 28,706.77 and 8,057

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Solution

The fourth proportional to 19,149.53, 28,706.77 and 8,057 is: 12,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,149.53 : 28,706.77 = 8,057 : x
  2. Step 2: Convert to fraction form
    19,149.53/28,706.77 = 8,057/x
  3. Step 3: Cross multiply
    19,149.53x = 28,706.77 × 8,057
  4. Step 4: Simplify right side
    19,149.53x = 231,290,445.89
  5. Step 5: Solve for x
    x = 231,290,445.89/19,149.53
  6. Step 6: Final answer
    x = 12,078.13

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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.