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Finding the Fourth Proportional to 12,874.79, 19,344.59 and 8,196.91

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Solution

The fourth proportional to 12,874.79, 19,344.59 and 8,196.91 is: 12,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.79 : 19,344.59 = 8,196.91 : x
  2. Step 2: Convert to fraction form
    12,874.79/19,344.59 = 8,196.91/x
  3. Step 3: Cross multiply
    12,874.79x = 19,344.59 × 8,196.91
  4. Step 4: Simplify right side
    12,874.79x = 158,565,863.22
  5. Step 5: Solve for x
    x = 158,565,863.22/12,874.79
  6. Step 6: Final answer
    x = 12,316.00

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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.