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Finding the Fourth Proportional to 20,312.33, 30,465.72 and 7,162.97

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Solution

The fourth proportional to 20,312.33, 30,465.72 and 7,162.97 is: 10,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.33 : 30,465.72 = 7,162.97 : x
  2. Step 2: Convert to fraction form
    20,312.33/30,465.72 = 7,162.97/x
  3. Step 3: Cross multiply
    20,312.33x = 30,465.72 × 7,162.97
  4. Step 4: Simplify right side
    20,312.33x = 218,224,886.06
  5. Step 5: Solve for x
    x = 218,224,886.06/20,312.33
  6. Step 6: Final answer
    x = 10,743.47

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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.