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Finding the Fourth Proportional to 12,184.97, 16,819.04 and 8,211.92

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Solution

The fourth proportional to 12,184.97, 16,819.04 and 8,211.92 is: 11,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.97 : 16,819.04 = 8,211.92 : x
  2. Step 2: Convert to fraction form
    12,184.97/16,819.04 = 8,211.92/x
  3. Step 3: Cross multiply
    12,184.97x = 16,819.04 × 8,211.92
  4. Step 4: Simplify right side
    12,184.97x = 138,116,547.39
  5. Step 5: Solve for x
    x = 138,116,547.39/12,184.97
  6. Step 6: Final answer
    x = 11,335.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.