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Finding the Fourth Proportional to 21,211.48, 31,824.06 and 6,421.89

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Solution

The fourth proportional to 21,211.48, 31,824.06 and 6,421.89 is: 9,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.48 : 31,824.06 = 6,421.89 : x
  2. Step 2: Convert to fraction form
    21,211.48/31,824.06 = 6,421.89/x
  3. Step 3: Cross multiply
    21,211.48x = 31,824.06 × 6,421.89
  4. Step 4: Simplify right side
    21,211.48x = 204,370,707.93
  5. Step 5: Solve for x
    x = 204,370,707.93/21,211.48
  6. Step 6: Final answer
    x = 9,634.91

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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.