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Finding the Fourth Proportional to 25,596.14, 38,394.32 and 9,797.50

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Solution

The fourth proportional to 25,596.14, 38,394.32 and 9,797.50 is: 14,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.14 : 38,394.32 = 9,797.50 : x
  2. Step 2: Convert to fraction form
    25,596.14/38,394.32 = 9,797.50/x
  3. Step 3: Cross multiply
    25,596.14x = 38,394.32 × 9,797.50
  4. Step 4: Simplify right side
    25,596.14x = 376,168,205.23
  5. Step 5: Solve for x
    x = 376,168,205.23/25,596.14
  6. Step 6: Final answer
    x = 14,696.29

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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.