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Finding the Fourth Proportional to 23,683.74, 32,686.14 and 13,612.62

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Solution

The fourth proportional to 23,683.74, 32,686.14 and 13,612.62 is: 18,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.74 : 32,686.14 = 13,612.62 : x
  2. Step 2: Convert to fraction form
    23,683.74/32,686.14 = 13,612.62/x
  3. Step 3: Cross multiply
    23,683.74x = 32,686.14 × 13,612.62
  4. Step 4: Simplify right side
    23,683.74x = 444,944,003.09
  5. Step 5: Solve for x
    x = 444,944,003.09/23,683.74
  6. Step 6: Final answer
    x = 18,786.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.