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Finding the Fourth Proportional to 21,091.16, 31,638.90 and 7,954.58

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Solution

The fourth proportional to 21,091.16, 31,638.90 and 7,954.58 is: 11,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.16 : 31,638.90 = 7,954.58 : x
  2. Step 2: Convert to fraction form
    21,091.16/31,638.90 = 7,954.58/x
  3. Step 3: Cross multiply
    21,091.16x = 31,638.90 × 7,954.58
  4. Step 4: Simplify right side
    21,091.16x = 251,674,161.16
  5. Step 5: Solve for x
    x = 251,674,161.16/21,091.16
  6. Step 6: Final answer
    x = 11,932.68

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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.