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Finding the Fourth Proportional to 21,102.89, 31,638.62 and 7,054.61

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Solution

The fourth proportional to 21,102.89, 31,638.62 and 7,054.61 is: 10,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.89 : 31,638.62 = 7,054.61 : x
  2. Step 2: Convert to fraction form
    21,102.89/31,638.62 = 7,054.61/x
  3. Step 3: Cross multiply
    21,102.89x = 31,638.62 × 7,054.61
  4. Step 4: Simplify right side
    21,102.89x = 223,198,125.04
  5. Step 5: Solve for x
    x = 223,198,125.04/21,102.89
  6. Step 6: Final answer
    x = 10,576.66

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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.