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Finding the Fourth Proportional to 12,207.68, 18,311.68 and 5,186.88

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Solution

The fourth proportional to 12,207.68, 18,311.68 and 5,186.88 is: 7,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.68 : 18,311.68 = 5,186.88 : x
  2. Step 2: Convert to fraction form
    12,207.68/18,311.68 = 5,186.88/x
  3. Step 3: Cross multiply
    12,207.68x = 18,311.68 × 5,186.88
  4. Step 4: Simplify right side
    12,207.68x = 94,980,486.76
  5. Step 5: Solve for x
    x = 94,980,486.76/12,207.68
  6. Step 6: Final answer
    x = 7,780.39

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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.