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Finding the Fourth Proportional to 20,805.41, 31,206.67 and 7,655.33

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Solution

The fourth proportional to 20,805.41, 31,206.67 and 7,655.33 is: 11,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.41 : 31,206.67 = 7,655.33 : x
  2. Step 2: Convert to fraction form
    20,805.41/31,206.67 = 7,655.33/x
  3. Step 3: Cross multiply
    20,805.41x = 31,206.67 × 7,655.33
  4. Step 4: Simplify right side
    20,805.41x = 238,897,357.05
  5. Step 5: Solve for x
    x = 238,897,357.05/20,805.41
  6. Step 6: Final answer
    x = 11,482.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.