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Finding the Fourth Proportional to 20,931.78, 28,887.28 and 11,500.44

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Solution

The fourth proportional to 20,931.78, 28,887.28 and 11,500.44 is: 15,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931.78 : 28,887.28 = 11,500.44 : x
  2. Step 2: Convert to fraction form
    20,931.78/28,887.28 = 11,500.44/x
  3. Step 3: Cross multiply
    20,931.78x = 28,887.28 × 11,500.44
  4. Step 4: Simplify right side
    20,931.78x = 332,216,430.40
  5. Step 5: Solve for x
    x = 332,216,430.40/20,931.78
  6. Step 6: Final answer
    x = 15,871.39

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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.