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Finding the Fourth Proportional to 25,865.76, 38,794.41 and 9,223.32

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Solution

The fourth proportional to 25,865.76, 38,794.41 and 9,223.32 is: 13,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.76 : 38,794.41 = 9,223.32 : x
  2. Step 2: Convert to fraction form
    25,865.76/38,794.41 = 9,223.32/x
  3. Step 3: Cross multiply
    25,865.76x = 38,794.41 × 9,223.32
  4. Step 4: Simplify right side
    25,865.76x = 357,813,257.64
  5. Step 5: Solve for x
    x = 357,813,257.64/25,865.76
  6. Step 6: Final answer
    x = 13,833.47

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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.