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Finding the Fourth Proportional to 12,781.61, 19,175.48 and 4,016.52

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Solution

The fourth proportional to 12,781.61, 19,175.48 and 4,016.52 is: 6,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.61 : 19,175.48 = 4,016.52 : x
  2. Step 2: Convert to fraction form
    12,781.61/19,175.48 = 4,016.52/x
  3. Step 3: Cross multiply
    12,781.61x = 19,175.48 × 4,016.52
  4. Step 4: Simplify right side
    12,781.61x = 77,018,698.93
  5. Step 5: Solve for x
    x = 77,018,698.93/12,781.61
  6. Step 6: Final answer
    x = 6,025.74

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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.