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Finding the Fourth Proportional to 20,152.76, 30,093.34 and 16,462.28

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Solution

The fourth proportional to 20,152.76, 30,093.34 and 16,462.28 is: 24,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.76 : 30,093.34 = 16,462.28 : x
  2. Step 2: Convert to fraction form
    20,152.76/30,093.34 = 16,462.28/x
  3. Step 3: Cross multiply
    20,152.76x = 30,093.34 × 16,462.28
  4. Step 4: Simplify right side
    20,152.76x = 495,404,989.22
  5. Step 5: Solve for x
    x = 495,404,989.22/20,152.76
  6. Step 6: Final answer
    x = 24,582.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.