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Finding the Fourth Proportional to 21,114.84, 31,650.09 and 10,008.21

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Solution

The fourth proportional to 21,114.84, 31,650.09 and 10,008.21 is: 15,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.84 : 31,650.09 = 10,008.21 : x
  2. Step 2: Convert to fraction form
    21,114.84/31,650.09 = 10,008.21/x
  3. Step 3: Cross multiply
    21,114.84x = 31,650.09 × 10,008.21
  4. Step 4: Simplify right side
    21,114.84x = 316,760,747.24
  5. Step 5: Solve for x
    x = 316,760,747.24/21,114.84
  6. Step 6: Final answer
    x = 15,001.81

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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.