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Finding the Fourth Proportional to 20,740, 31,113.84 and 9,796

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Solution

The fourth proportional to 20,740, 31,113.84 and 9,796 is: 14,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,740 : 31,113.84 = 9,796 : x
  2. Step 2: Convert to fraction form
    20,740/31,113.84 = 9,796/x
  3. Step 3: Cross multiply
    20,740x = 31,113.84 × 9,796
  4. Step 4: Simplify right side
    20,740x = 304,791,176.64
  5. Step 5: Solve for x
    x = 304,791,176.64/20,740
  6. Step 6: Final answer
    x = 14,695.81

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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.