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Finding the Fourth Proportional to 12,188.04, 16,819.42 and 6,599

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Solution

The fourth proportional to 12,188.04, 16,819.42 and 6,599 is: 9,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.04 : 16,819.42 = 6,599 : x
  2. Step 2: Convert to fraction form
    12,188.04/16,819.42 = 6,599/x
  3. Step 3: Cross multiply
    12,188.04x = 16,819.42 × 6,599
  4. Step 4: Simplify right side
    12,188.04x = 110,991,352.58
  5. Step 5: Solve for x
    x = 110,991,352.58/12,188.04
  6. Step 6: Final answer
    x = 9,106.58

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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.