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Finding the Fourth Proportional to 15,157.38, 20,920.41 and 10,186.50

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Solution

The fourth proportional to 15,157.38, 20,920.41 and 10,186.50 is: 14,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.38 : 20,920.41 = 10,186.50 : x
  2. Step 2: Convert to fraction form
    15,157.38/20,920.41 = 10,186.50/x
  3. Step 3: Cross multiply
    15,157.38x = 20,920.41 × 10,186.50
  4. Step 4: Simplify right side
    15,157.38x = 213,105,756.47
  5. Step 5: Solve for x
    x = 213,105,756.47/15,157.38
  6. Step 6: Final answer
    x = 14,059.54

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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.