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Finding the Fourth Proportional to 20,869.90, 31,305 and 7,018.90

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Solution

The fourth proportional to 20,869.90, 31,305 and 7,018.90 is: 10,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.90 : 31,305 = 7,018.90 : x
  2. Step 2: Convert to fraction form
    20,869.90/31,305 = 7,018.90/x
  3. Step 3: Cross multiply
    20,869.90x = 31,305 × 7,018.90
  4. Step 4: Simplify right side
    20,869.90x = 219,726,664.50
  5. Step 5: Solve for x
    x = 219,726,664.50/20,869.90
  6. Step 6: Final answer
    x = 10,528.40

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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.