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Finding the Fourth Proportional to 16,967.49, 23,415.28 and 9,414.32

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Solution

The fourth proportional to 16,967.49, 23,415.28 and 9,414.32 is: 12,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.49 : 23,415.28 = 9,414.32 : x
  2. Step 2: Convert to fraction form
    16,967.49/23,415.28 = 9,414.32/x
  3. Step 3: Cross multiply
    16,967.49x = 23,415.28 × 9,414.32
  4. Step 4: Simplify right side
    16,967.49x = 220,438,938.81
  5. Step 5: Solve for x
    x = 220,438,938.81/16,967.49
  6. Step 6: Final answer
    x = 12,991.84

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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.