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Finding the Fourth Proportional to 12,398.08, 18,596.22 and 4,078

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Solution

The fourth proportional to 12,398.08, 18,596.22 and 4,078 is: 6,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.08 : 18,596.22 = 4,078 : x
  2. Step 2: Convert to fraction form
    12,398.08/18,596.22 = 4,078/x
  3. Step 3: Cross multiply
    12,398.08x = 18,596.22 × 4,078
  4. Step 4: Simplify right side
    12,398.08x = 75,835,385.16
  5. Step 5: Solve for x
    x = 75,835,385.16/12,398.08
  6. Step 6: Final answer
    x = 6,116.70

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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.