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Finding the Fourth Proportional to 21,201.43, 31,802.15 and 7,161.50

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Solution

The fourth proportional to 21,201.43, 31,802.15 and 7,161.50 is: 10,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.43 : 31,802.15 = 7,161.50 : x
  2. Step 2: Convert to fraction form
    21,201.43/31,802.15 = 7,161.50/x
  3. Step 3: Cross multiply
    21,201.43x = 31,802.15 × 7,161.50
  4. Step 4: Simplify right side
    21,201.43x = 227,750,902.41
  5. Step 5: Solve for x
    x = 227,750,902.41/21,201.43
  6. Step 6: Final answer
    x = 10,742.24

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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.