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Finding the Fourth Proportional to 16,194.72, 24,301.38 and 6,834

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Solution

The fourth proportional to 16,194.72, 24,301.38 and 6,834 is: 10,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.72 : 24,301.38 = 6,834 : x
  2. Step 2: Convert to fraction form
    16,194.72/24,301.38 = 6,834/x
  3. Step 3: Cross multiply
    16,194.72x = 24,301.38 × 6,834
  4. Step 4: Simplify right side
    16,194.72x = 166,075,630.92
  5. Step 5: Solve for x
    x = 166,075,630.92/16,194.72
  6. Step 6: Final answer
    x = 10,254.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.