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Finding the Fourth Proportional to 25,225.94, 37,837.50 and 7,694.39

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Solution

The fourth proportional to 25,225.94, 37,837.50 and 7,694.39 is: 11,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.94 : 37,837.50 = 7,694.39 : x
  2. Step 2: Convert to fraction form
    25,225.94/37,837.50 = 7,694.39/x
  3. Step 3: Cross multiply
    25,225.94x = 37,837.50 × 7,694.39
  4. Step 4: Simplify right side
    25,225.94x = 291,136,481.63
  5. Step 5: Solve for x
    x = 291,136,481.63/25,225.94
  6. Step 6: Final answer
    x = 11,541.15

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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.