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Finding the Fourth Proportional to 12,188.19, 16,819.74 and 6,599.19

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Solution

The fourth proportional to 12,188.19, 16,819.74 and 6,599.19 is: 9,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.19 : 16,819.74 = 6,599.19 : x
  2. Step 2: Convert to fraction form
    12,188.19/16,819.74 = 6,599.19/x
  3. Step 3: Cross multiply
    12,188.19x = 16,819.74 × 6,599.19
  4. Step 4: Simplify right side
    12,188.19x = 110,996,660.01
  5. Step 5: Solve for x
    x = 110,996,660.01/12,188.19
  6. Step 6: Final answer
    x = 9,106.90

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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.