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Finding the Fourth Proportional to 21,015, 31,522.68 and 5,431.68

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Solution

The fourth proportional to 21,015, 31,522.68 and 5,431.68 is: 8,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015 : 31,522.68 = 5,431.68 : x
  2. Step 2: Convert to fraction form
    21,015/31,522.68 = 5,431.68/x
  3. Step 3: Cross multiply
    21,015x = 31,522.68 × 5,431.68
  4. Step 4: Simplify right side
    21,015x = 171,221,110.50
  5. Step 5: Solve for x
    x = 171,221,110.50/21,015
  6. Step 6: Final answer
    x = 8,147.57

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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.