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Finding the Fourth Proportional to 25,206.66, 37,799.37 and 7,672.50

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Solution

The fourth proportional to 25,206.66, 37,799.37 and 7,672.50 is: 11,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.66 : 37,799.37 = 7,672.50 : x
  2. Step 2: Convert to fraction form
    25,206.66/37,799.37 = 7,672.50/x
  3. Step 3: Cross multiply
    25,206.66x = 37,799.37 × 7,672.50
  4. Step 4: Simplify right side
    25,206.66x = 290,015,666.33
  5. Step 5: Solve for x
    x = 290,015,666.33/25,206.66
  6. Step 6: Final answer
    x = 11,505.52

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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.