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Finding the Fourth Proportional to 21,102.49, 31,657.80 and 6,311.08

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Solution

The fourth proportional to 21,102.49, 31,657.80 and 6,311.08 is: 9,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.49 : 31,657.80 = 6,311.08 : x
  2. Step 2: Convert to fraction form
    21,102.49/31,657.80 = 6,311.08/x
  3. Step 3: Cross multiply
    21,102.49x = 31,657.80 × 6,311.08
  4. Step 4: Simplify right side
    21,102.49x = 199,794,908.42
  5. Step 5: Solve for x
    x = 199,794,908.42/21,102.49
  6. Step 6: Final answer
    x = 9,467.84

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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.