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Finding the Fourth Proportional to 13,858.17, 20,795.90 and 8,026.17

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Solution

The fourth proportional to 13,858.17, 20,795.90 and 8,026.17 is: 12,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.17 : 20,795.90 = 8,026.17 : x
  2. Step 2: Convert to fraction form
    13,858.17/20,795.90 = 8,026.17/x
  3. Step 3: Cross multiply
    13,858.17x = 20,795.90 × 8,026.17
  4. Step 4: Simplify right side
    13,858.17x = 166,911,388.57
  5. Step 5: Solve for x
    x = 166,911,388.57/13,858.17
  6. Step 6: Final answer
    x = 12,044.26

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1.5x scale

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.