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Finding the Fourth Proportional to 20,540.46, 28,363.12 and 13,000.10

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Solution

The fourth proportional to 20,540.46, 28,363.12 and 13,000.10 is: 17,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.46 : 28,363.12 = 13,000.10 : x
  2. Step 2: Convert to fraction form
    20,540.46/28,363.12 = 13,000.10/x
  3. Step 3: Cross multiply
    20,540.46x = 28,363.12 × 13,000.10
  4. Step 4: Simplify right side
    20,540.46x = 368,723,273.70
  5. Step 5: Solve for x
    x = 368,723,273.70/20,540.46
  6. Step 6: Final answer
    x = 17,951.07

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