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Finding the Fourth Proportional to 23,398.46, 32,289.39 and 12,788.17

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Solution

The fourth proportional to 23,398.46, 32,289.39 and 12,788.17 is: 17,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398.46 : 32,289.39 = 12,788.17 : x
  2. Step 2: Convert to fraction form
    23,398.46/32,289.39 = 12,788.17/x
  3. Step 3: Cross multiply
    23,398.46x = 32,289.39 × 12,788.17
  4. Step 4: Simplify right side
    23,398.46x = 412,922,175.75
  5. Step 5: Solve for x
    x = 412,922,175.75/23,398.46
  6. Step 6: Final answer
    x = 17,647.41

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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.