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Finding the Fourth Proportional to 21,158.42, 31,738.04 and 7,115.86

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Solution

The fourth proportional to 21,158.42, 31,738.04 and 7,115.86 is: 10,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.42 : 31,738.04 = 7,115.86 : x
  2. Step 2: Convert to fraction form
    21,158.42/31,738.04 = 7,115.86/x
  3. Step 3: Cross multiply
    21,158.42x = 31,738.04 × 7,115.86
  4. Step 4: Simplify right side
    21,158.42x = 225,843,449.31
  5. Step 5: Solve for x
    x = 225,843,449.31/21,158.42
  6. Step 6: Final answer
    x = 10,673.93

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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.