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Finding the Fourth Proportional to 16,432.46, 24,650 and 7,072.71

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Solution

The fourth proportional to 16,432.46, 24,650 and 7,072.71 is: 10,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.46 : 24,650 = 7,072.71 : x
  2. Step 2: Convert to fraction form
    16,432.46/24,650 = 7,072.71/x
  3. Step 3: Cross multiply
    16,432.46x = 24,650 × 7,072.71
  4. Step 4: Simplify right side
    16,432.46x = 174,342,301.50
  5. Step 5: Solve for x
    x = 174,342,301.50/16,432.46
  6. Step 6: Final answer
    x = 10,609.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.