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Finding the Fourth Proportional to 19,899, 29,826.36 and 10,047.24

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Solution

The fourth proportional to 19,899, 29,826.36 and 10,047.24 is: 15,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,899 : 29,826.36 = 10,047.24 : x
  2. Step 2: Convert to fraction form
    19,899/29,826.36 = 10,047.24/x
  3. Step 3: Cross multiply
    19,899x = 29,826.36 × 10,047.24
  4. Step 4: Simplify right side
    19,899x = 299,672,597.25
  5. Step 5: Solve for x
    x = 299,672,597.25/19,899
  6. Step 6: Final answer
    x = 15,059.68

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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.