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Finding the Fourth Proportional to 19,785.96, 29,682.54 and 9,932.04

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Solution

The fourth proportional to 19,785.96, 29,682.54 and 9,932.04 is: 14,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.96 : 29,682.54 = 9,932.04 : x
  2. Step 2: Convert to fraction form
    19,785.96/29,682.54 = 9,932.04/x
  3. Step 3: Cross multiply
    19,785.96x = 29,682.54 × 9,932.04
  4. Step 4: Simplify right side
    19,785.96x = 294,808,174.58
  5. Step 5: Solve for x
    x = 294,808,174.58/19,785.96
  6. Step 6: Final answer
    x = 14,899.87

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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.