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Finding the Fourth Proportional to 26,105, 36,024.90 and 14,774.30

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Solution

The fourth proportional to 26,105, 36,024.90 and 14,774.30 is: 20,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,105 : 36,024.90 = 14,774.30 : x
  2. Step 2: Convert to fraction form
    26,105/36,024.90 = 14,774.30/x
  3. Step 3: Cross multiply
    26,105x = 36,024.90 × 14,774.30
  4. Step 4: Simplify right side
    26,105x = 532,242,680.07
  5. Step 5: Solve for x
    x = 532,242,680.07/26,105
  6. Step 6: Final answer
    x = 20,388.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.