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Finding the Fourth Proportional to 16,431.46, 24,648.50 and 7,071.71

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Solution

The fourth proportional to 16,431.46, 24,648.50 and 7,071.71 is: 10,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.46 : 24,648.50 = 7,071.71 : x
  2. Step 2: Convert to fraction form
    16,431.46/24,648.50 = 7,071.71/x
  3. Step 3: Cross multiply
    16,431.46x = 24,648.50 × 7,071.71
  4. Step 4: Simplify right side
    16,431.46x = 174,306,938.37
  5. Step 5: Solve for x
    x = 174,306,938.37/16,431.46
  6. Step 6: Final answer
    x = 10,608.12

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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.