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Finding the Fourth Proportional to 12,186.95, 16,819.11 and 7,405.79

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Solution

The fourth proportional to 12,186.95, 16,819.11 and 7,405.79 is: 10,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.95 : 16,819.11 = 7,405.79 : x
  2. Step 2: Convert to fraction form
    12,186.95/16,819.11 = 7,405.79/x
  3. Step 3: Cross multiply
    12,186.95x = 16,819.11 × 7,405.79
  4. Step 4: Simplify right side
    12,186.95x = 124,558,712.55
  5. Step 5: Solve for x
    x = 124,558,712.55/12,186.95
  6. Step 6: Final answer
    x = 10,220.67

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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.