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Finding the Fourth Proportional to 12,398.34, 18,598.74 and 4,074.98

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Solution

The fourth proportional to 12,398.34, 18,598.74 and 4,074.98 is: 6,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.34 : 18,598.74 = 4,074.98 : x
  2. Step 2: Convert to fraction form
    12,398.34/18,598.74 = 4,074.98/x
  3. Step 3: Cross multiply
    12,398.34x = 18,598.74 × 4,074.98
  4. Step 4: Simplify right side
    12,398.34x = 75,789,473.15
  5. Step 5: Solve for x
    x = 75,789,473.15/12,398.34
  6. Step 6: Final answer
    x = 6,112.87

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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.