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Finding the Fourth Proportional to 20,287.50, 30,410.73 and 9,742.11

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Solution

The fourth proportional to 20,287.50, 30,410.73 and 9,742.11 is: 14,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.50 : 30,410.73 = 9,742.11 : x
  2. Step 2: Convert to fraction form
    20,287.50/30,410.73 = 9,742.11/x
  3. Step 3: Cross multiply
    20,287.50x = 30,410.73 × 9,742.11
  4. Step 4: Simplify right side
    20,287.50x = 296,264,676.84
  5. Step 5: Solve for x
    x = 296,264,676.84/20,287.50
  6. Step 6: Final answer
    x = 14,603.31

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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.