Home / 20,971.16-31,455.72-7,822.50

Finding the Fourth Proportional to 20,971.16, 31,455.72 and 7,822.50

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Solution

The fourth proportional to 20,971.16, 31,455.72 and 7,822.50 is: 11,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.16 : 31,455.72 = 7,822.50 : x
  2. Step 2: Convert to fraction form
    20,971.16/31,455.72 = 7,822.50/x
  3. Step 3: Cross multiply
    20,971.16x = 31,455.72 × 7,822.50
  4. Step 4: Simplify right side
    20,971.16x = 246,062,369.70
  5. Step 5: Solve for x
    x = 246,062,369.70/20,971.16
  6. Step 6: Final answer
    x = 11,733.37

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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.