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Finding the Fourth Proportional to 12,398.64, 18,574.51 and 9,611.66

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Solution

The fourth proportional to 12,398.64, 18,574.51 and 9,611.66 is: 14,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.64 : 18,574.51 = 9,611.66 : x
  2. Step 2: Convert to fraction form
    12,398.64/18,574.51 = 9,611.66/x
  3. Step 3: Cross multiply
    12,398.64x = 18,574.51 × 9,611.66
  4. Step 4: Simplify right side
    12,398.64x = 178,531,874.79
  5. Step 5: Solve for x
    x = 178,531,874.79/12,398.64
  6. Step 6: Final answer
    x = 14,399.31

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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.