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Finding the Fourth Proportional to 21,013.62, 31,524.91 and 10,489.30

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Solution

The fourth proportional to 21,013.62, 31,524.91 and 10,489.30 is: 15,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.62 : 31,524.91 = 10,489.30 : x
  2. Step 2: Convert to fraction form
    21,013.62/31,524.91 = 10,489.30/x
  3. Step 3: Cross multiply
    21,013.62x = 31,524.91 × 10,489.30
  4. Step 4: Simplify right side
    21,013.62x = 330,674,238.46
  5. Step 5: Solve for x
    x = 330,674,238.46/21,013.62
  6. Step 6: Final answer
    x = 15,736.19

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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.