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Finding the Fourth Proportional to 25,226.94, 37,839 and 7,695.39

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Solution

The fourth proportional to 25,226.94, 37,839 and 7,695.39 is: 11,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,226.94 : 37,839 = 7,695.39 : x
  2. Step 2: Convert to fraction form
    25,226.94/37,839 = 7,695.39/x
  3. Step 3: Cross multiply
    25,226.94x = 37,839 × 7,695.39
  4. Step 4: Simplify right side
    25,226.94x = 291,185,862.21
  5. Step 5: Solve for x
    x = 291,185,862.21/25,226.94
  6. Step 6: Final answer
    x = 11,542.65

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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.