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Finding the Fourth Proportional to 25,378.50, 38,069.56 and 7,846.06

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Solution

The fourth proportional to 25,378.50, 38,069.56 and 7,846.06 is: 11,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.50 : 38,069.56 = 7,846.06 : x
  2. Step 2: Convert to fraction form
    25,378.50/38,069.56 = 7,846.06/x
  3. Step 3: Cross multiply
    25,378.50x = 38,069.56 × 7,846.06
  4. Step 4: Simplify right side
    25,378.50x = 298,696,051.93
  5. Step 5: Solve for x
    x = 298,696,051.93/25,378.50
  6. Step 6: Final answer
    x = 11,769.65

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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.