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Finding the Fourth Proportional to 25,326.63, 37,994.13 and 7,796.52

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Solution

The fourth proportional to 25,326.63, 37,994.13 and 7,796.52 is: 11,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,326.63 : 37,994.13 = 7,796.52 : x
  2. Step 2: Convert to fraction form
    25,326.63/37,994.13 = 7,796.52/x
  3. Step 3: Cross multiply
    25,326.63x = 37,994.13 × 7,796.52
  4. Step 4: Simplify right side
    25,326.63x = 296,221,994.43
  5. Step 5: Solve for x
    x = 296,221,994.43/25,326.63
  6. Step 6: Final answer
    x = 11,696.07

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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.