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Finding the Fourth Proportional to 25,213.84, 37,794.36 and 9,412

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Solution

The fourth proportional to 25,213.84, 37,794.36 and 9,412 is: 14,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.84 : 37,794.36 = 9,412 : x
  2. Step 2: Convert to fraction form
    25,213.84/37,794.36 = 9,412/x
  3. Step 3: Cross multiply
    25,213.84x = 37,794.36 × 9,412
  4. Step 4: Simplify right side
    25,213.84x = 355,720,516.32
  5. Step 5: Solve for x
    x = 355,720,516.32/25,213.84
  6. Step 6: Final answer
    x = 14,108.15

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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.