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Finding the Fourth Proportional to 16,967.90, 23,414.59 and 9,414.21

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Solution

The fourth proportional to 16,967.90, 23,414.59 and 9,414.21 is: 12,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.90 : 23,414.59 = 9,414.21 : x
  2. Step 2: Convert to fraction form
    16,967.90/23,414.59 = 9,414.21/x
  3. Step 3: Cross multiply
    16,967.90x = 23,414.59 × 9,414.21
  4. Step 4: Simplify right side
    16,967.90x = 220,429,820.25
  5. Step 5: Solve for x
    x = 220,429,820.25/16,967.90
  6. Step 6: Final answer
    x = 12,990.99

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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.