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Finding the Fourth Proportional to 21,397.89, 32,096.91 and 5,815.51

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Solution

The fourth proportional to 21,397.89, 32,096.91 and 5,815.51 is: 8,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.89 : 32,096.91 = 5,815.51 : x
  2. Step 2: Convert to fraction form
    21,397.89/32,096.91 = 5,815.51/x
  3. Step 3: Cross multiply
    21,397.89x = 32,096.91 × 5,815.51
  4. Step 4: Simplify right side
    21,397.89x = 186,659,901.07
  5. Step 5: Solve for x
    x = 186,659,901.07/21,397.89
  6. Step 6: Final answer
    x = 8,723.29

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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.