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Finding the Fourth Proportional to 21,247.93, 31,871.08 and 5,665.42

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Solution

The fourth proportional to 21,247.93, 31,871.08 and 5,665.42 is: 8,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,247.93 : 31,871.08 = 5,665.42 : x
  2. Step 2: Convert to fraction form
    21,247.93/31,871.08 = 5,665.42/x
  3. Step 3: Cross multiply
    21,247.93x = 31,871.08 × 5,665.42
  4. Step 4: Simplify right side
    21,247.93x = 180,563,054.05
  5. Step 5: Solve for x
    x = 180,563,054.05/21,247.93
  6. Step 6: Final answer
    x = 8,497.91

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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.