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Finding the Fourth Proportional to 20,333.72, 30,511.02 and 15,401.72

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Solution

The fourth proportional to 20,333.72, 30,511.02 and 15,401.72 is: 23,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,333.72 : 30,511.02 = 15,401.72 : x
  2. Step 2: Convert to fraction form
    20,333.72/30,511.02 = 15,401.72/x
  3. Step 3: Cross multiply
    20,333.72x = 30,511.02 × 15,401.72
  4. Step 4: Simplify right side
    20,333.72x = 469,922,186.95
  5. Step 5: Solve for x
    x = 469,922,186.95/20,333.72
  6. Step 6: Final answer
    x = 23,110.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.