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Finding the Fourth Proportional to 25,594.30, 38,390.05 and 7,824.95

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Solution

The fourth proportional to 25,594.30, 38,390.05 and 7,824.95 is: 11,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.30 : 38,390.05 = 7,824.95 : x
  2. Step 2: Convert to fraction form
    25,594.30/38,390.05 = 7,824.95/x
  3. Step 3: Cross multiply
    25,594.30x = 38,390.05 × 7,824.95
  4. Step 4: Simplify right side
    25,594.30x = 300,400,103.54
  5. Step 5: Solve for x
    x = 300,400,103.54/25,594.30
  6. Step 6: Final answer
    x = 11,736.99

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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.