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Finding the Fourth Proportional to 12,296.65, 18,448.19 and 4,398.86

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Solution

The fourth proportional to 12,296.65, 18,448.19 and 4,398.86 is: 6,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.65 : 18,448.19 = 4,398.86 : x
  2. Step 2: Convert to fraction form
    12,296.65/18,448.19 = 4,398.86/x
  3. Step 3: Cross multiply
    12,296.65x = 18,448.19 × 4,398.86
  4. Step 4: Simplify right side
    12,296.65x = 81,151,005.06
  5. Step 5: Solve for x
    x = 81,151,005.06/12,296.65
  6. Step 6: Final answer
    x = 6,599.44

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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.