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Finding the Fourth Proportional to 20,266.86, 30,379.49 and 7,783.52

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Solution

The fourth proportional to 20,266.86, 30,379.49 and 7,783.52 is: 11,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266.86 : 30,379.49 = 7,783.52 : x
  2. Step 2: Convert to fraction form
    20,266.86/30,379.49 = 7,783.52/x
  3. Step 3: Cross multiply
    20,266.86x = 30,379.49 × 7,783.52
  4. Step 4: Simplify right side
    20,266.86x = 236,459,368.00
  5. Step 5: Solve for x
    x = 236,459,368.00/20,266.86
  6. Step 6: Final answer
    x = 11,667.29

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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.