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Finding the Fourth Proportional to 21,202.15, 31,802.20 and 8,053.50

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Solution

The fourth proportional to 21,202.15, 31,802.20 and 8,053.50 is: 12,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.15 : 31,802.20 = 8,053.50 : x
  2. Step 2: Convert to fraction form
    21,202.15/31,802.20 = 8,053.50/x
  3. Step 3: Cross multiply
    21,202.15x = 31,802.20 × 8,053.50
  4. Step 4: Simplify right side
    21,202.15x = 256,119,017.70
  5. Step 5: Solve for x
    x = 256,119,017.70/21,202.15
  6. Step 6: Final answer
    x = 12,079.86

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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.