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Finding the Fourth Proportional to 16,967.68, 23,415.54 and 9,414.50

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Solution

The fourth proportional to 16,967.68, 23,415.54 and 9,414.50 is: 12,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.68 : 23,415.54 = 9,414.50 : x
  2. Step 2: Convert to fraction form
    16,967.68/23,415.54 = 9,414.50/x
  3. Step 3: Cross multiply
    16,967.68x = 23,415.54 × 9,414.50
  4. Step 4: Simplify right side
    16,967.68x = 220,445,601.33
  5. Step 5: Solve for x
    x = 220,445,601.33/16,967.68
  6. Step 6: Final answer
    x = 12,992.09

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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.