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Finding the Fourth Proportional to 23,200.38, 32,000.67 and 14,813.10

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Solution

The fourth proportional to 23,200.38, 32,000.67 and 14,813.10 is: 20,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.38 : 32,000.67 = 14,813.10 : x
  2. Step 2: Convert to fraction form
    23,200.38/32,000.67 = 14,813.10/x
  3. Step 3: Cross multiply
    23,200.38x = 32,000.67 × 14,813.10
  4. Step 4: Simplify right side
    23,200.38x = 474,029,124.78
  5. Step 5: Solve for x
    x = 474,029,124.78/23,200.38
  6. Step 6: Final answer
    x = 20,431.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.