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Finding the Fourth Proportional to 23,228, 34,843.28 and 7,434.40

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Solution

The fourth proportional to 23,228, 34,843.28 and 7,434.40 is: 11,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228 : 34,843.28 = 7,434.40 : x
  2. Step 2: Convert to fraction form
    23,228/34,843.28 = 7,434.40/x
  3. Step 3: Cross multiply
    23,228x = 34,843.28 × 7,434.40
  4. Step 4: Simplify right side
    23,228x = 259,038,880.83
  5. Step 5: Solve for x
    x = 259,038,880.83/23,228
  6. Step 6: Final answer
    x = 11,152.01

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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.