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Finding the Fourth Proportional to 21,142.84, 31,714.90 and 6,351.80

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Solution

The fourth proportional to 21,142.84, 31,714.90 and 6,351.80 is: 9,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.84 : 31,714.90 = 6,351.80 : x
  2. Step 2: Convert to fraction form
    21,142.84/31,714.90 = 6,351.80/x
  3. Step 3: Cross multiply
    21,142.84x = 31,714.90 × 6,351.80
  4. Step 4: Simplify right side
    21,142.84x = 201,446,701.82
  5. Step 5: Solve for x
    x = 201,446,701.82/21,142.84
  6. Step 6: Final answer
    x = 9,527.89

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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.