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Finding the Fourth Proportional to 20,868.86, 28,800.38 and 11,437.41

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Solution

The fourth proportional to 20,868.86, 28,800.38 and 11,437.41 is: 15,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868.86 : 28,800.38 = 11,437.41 : x
  2. Step 2: Convert to fraction form
    20,868.86/28,800.38 = 11,437.41/x
  3. Step 3: Cross multiply
    20,868.86x = 28,800.38 × 11,437.41
  4. Step 4: Simplify right side
    20,868.86x = 329,401,697.03
  5. Step 5: Solve for x
    x = 329,401,697.03/20,868.86
  6. Step 6: Final answer
    x = 15,784.37

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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.