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Finding the Fourth Proportional to 19,533, 26,977.44 and 13,234.44

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Solution

The fourth proportional to 19,533, 26,977.44 and 13,234.44 is: 18,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533 : 26,977.44 = 13,234.44 : x
  2. Step 2: Convert to fraction form
    19,533/26,977.44 = 13,234.44/x
  3. Step 3: Cross multiply
    19,533x = 26,977.44 × 13,234.44
  4. Step 4: Simplify right side
    19,533x = 357,031,311.03
  5. Step 5: Solve for x
    x = 357,031,311.03/19,533
  6. Step 6: Final answer
    x = 18,278.37

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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.