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Finding the Fourth Proportional to 25,809.63, 38,711.36 and 7,091.56

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Solution

The fourth proportional to 25,809.63, 38,711.36 and 7,091.56 is: 10,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.63 : 38,711.36 = 7,091.56 : x
  2. Step 2: Convert to fraction form
    25,809.63/38,711.36 = 7,091.56/x
  3. Step 3: Cross multiply
    25,809.63x = 38,711.36 × 7,091.56
  4. Step 4: Simplify right side
    25,809.63x = 274,523,998.24
  5. Step 5: Solve for x
    x = 274,523,998.24/25,809.63
  6. Step 6: Final answer
    x = 10,636.50

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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.