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Finding the Fourth Proportional to 19,751.32, 29,603.94 and 11,965.24

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Solution

The fourth proportional to 19,751.32, 29,603.94 and 11,965.24 is: 17,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.32 : 29,603.94 = 11,965.24 : x
  2. Step 2: Convert to fraction form
    19,751.32/29,603.94 = 11,965.24/x
  3. Step 3: Cross multiply
    19,751.32x = 29,603.94 × 11,965.24
  4. Step 4: Simplify right side
    19,751.32x = 354,218,247.05
  5. Step 5: Solve for x
    x = 354,218,247.05/19,751.32
  6. Step 6: Final answer
    x = 17,933.90

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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.