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Finding the Fourth Proportional to 12,398.66, 18,597.99 and 3,164.66

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Solution

The fourth proportional to 12,398.66, 18,597.99 and 3,164.66 is: 4,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.66 : 18,597.99 = 3,164.66 : x
  2. Step 2: Convert to fraction form
    12,398.66/18,597.99 = 3,164.66/x
  3. Step 3: Cross multiply
    12,398.66x = 18,597.99 × 3,164.66
  4. Step 4: Simplify right side
    12,398.66x = 58,856,206.22
  5. Step 5: Solve for x
    x = 58,856,206.22/12,398.66
  6. Step 6: Final answer
    x = 4,746.98

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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.