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Finding the Fourth Proportional to 12,095.64, 18,145.79 and 4,197.86

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Solution

The fourth proportional to 12,095.64, 18,145.79 and 4,197.86 is: 6,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.64 : 18,145.79 = 4,197.86 : x
  2. Step 2: Convert to fraction form
    12,095.64/18,145.79 = 4,197.86/x
  3. Step 3: Cross multiply
    12,095.64x = 18,145.79 × 4,197.86
  4. Step 4: Simplify right side
    12,095.64x = 76,173,374.29
  5. Step 5: Solve for x
    x = 76,173,374.29/12,095.64
  6. Step 6: Final answer
    x = 6,297.59

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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.