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Finding the Fourth Proportional to 20,969.16, 31,452.72 and 7,820.50

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Solution

The fourth proportional to 20,969.16, 31,452.72 and 7,820.50 is: 11,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.16 : 31,452.72 = 7,820.50 : x
  2. Step 2: Convert to fraction form
    20,969.16/31,452.72 = 7,820.50/x
  3. Step 3: Cross multiply
    20,969.16x = 31,452.72 × 7,820.50
  4. Step 4: Simplify right side
    20,969.16x = 245,975,996.76
  5. Step 5: Solve for x
    x = 245,975,996.76/20,969.16
  6. Step 6: Final answer
    x = 11,730.37

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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.