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Finding the Fourth Proportional to 15,223, 22,833.78 and 4,833.40

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Solution

The fourth proportional to 15,223, 22,833.78 and 4,833.40 is: 7,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223 : 22,833.78 = 4,833.40 : x
  2. Step 2: Convert to fraction form
    15,223/22,833.78 = 4,833.40/x
  3. Step 3: Cross multiply
    15,223x = 22,833.78 × 4,833.40
  4. Step 4: Simplify right side
    15,223x = 110,364,792.25
  5. Step 5: Solve for x
    x = 110,364,792.25/15,223
  6. Step 6: Final answer
    x = 7,249.87

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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.