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Finding the Fourth Proportional to 12,097.64, 18,148.79 and 4,199.86

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Solution

The fourth proportional to 12,097.64, 18,148.79 and 4,199.86 is: 6,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.64 : 18,148.79 = 4,199.86 : x
  2. Step 2: Convert to fraction form
    12,097.64/18,148.79 = 4,199.86/x
  3. Step 3: Cross multiply
    12,097.64x = 18,148.79 × 4,199.86
  4. Step 4: Simplify right side
    12,097.64x = 76,222,377.17
  5. Step 5: Solve for x
    x = 76,222,377.17/12,097.64
  6. Step 6: Final answer
    x = 6,300.60

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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.