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Finding the Fourth Proportional to 12,841.94, 19,248.74 and 8,397.78

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Solution

The fourth proportional to 12,841.94, 19,248.74 and 8,397.78 is: 12,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.94 : 19,248.74 = 8,397.78 : x
  2. Step 2: Convert to fraction form
    12,841.94/19,248.74 = 8,397.78/x
  3. Step 3: Cross multiply
    12,841.94x = 19,248.74 × 8,397.78
  4. Step 4: Simplify right side
    12,841.94x = 161,646,601.12
  5. Step 5: Solve for x
    x = 161,646,601.12/12,841.94
  6. Step 6: Final answer
    x = 12,587.39

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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.