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Finding the Fourth Proportional to 16,921.98, 25,384.67 and 5,827.20

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Solution

The fourth proportional to 16,921.98, 25,384.67 and 5,827.20 is: 8,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,921.98 : 25,384.67 = 5,827.20 : x
  2. Step 2: Convert to fraction form
    16,921.98/25,384.67 = 5,827.20/x
  3. Step 3: Cross multiply
    16,921.98x = 25,384.67 × 5,827.20
  4. Step 4: Simplify right side
    16,921.98x = 147,921,519.89
  5. Step 5: Solve for x
    x = 147,921,519.89/16,921.98
  6. Step 6: Final answer
    x = 8,741.38

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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.