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Finding the Fourth Proportional to 12,781.58, 19,175.38 and 4,016.50

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Solution

The fourth proportional to 12,781.58, 19,175.38 and 4,016.50 is: 6,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.58 : 19,175.38 = 4,016.50 : x
  2. Step 2: Convert to fraction form
    12,781.58/19,175.38 = 4,016.50/x
  3. Step 3: Cross multiply
    12,781.58x = 19,175.38 × 4,016.50
  4. Step 4: Simplify right side
    12,781.58x = 77,017,855.79
  5. Step 5: Solve for x
    x = 77,017,855.79/12,781.58
  6. Step 6: Final answer
    x = 6,025.69

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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.