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Finding the Fourth Proportional to 25,613.91, 38,419.50 and 9,826.50

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Solution

The fourth proportional to 25,613.91, 38,419.50 and 9,826.50 is: 14,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.91 : 38,419.50 = 9,826.50 : x
  2. Step 2: Convert to fraction form
    25,613.91/38,419.50 = 9,826.50/x
  3. Step 3: Cross multiply
    25,613.91x = 38,419.50 × 9,826.50
  4. Step 4: Simplify right side
    25,613.91x = 377,529,216.75
  5. Step 5: Solve for x
    x = 377,529,216.75/25,613.91
  6. Step 6: Final answer
    x = 14,739.23

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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.