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Finding the Fourth Proportional to 20,805.26, 31,206.90 and 7,656.68

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Solution

The fourth proportional to 20,805.26, 31,206.90 and 7,656.68 is: 11,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.26 : 31,206.90 = 7,656.68 : x
  2. Step 2: Convert to fraction form
    20,805.26/31,206.90 = 7,656.68/x
  3. Step 3: Cross multiply
    20,805.26x = 31,206.90 × 7,656.68
  4. Step 4: Simplify right side
    20,805.26x = 238,941,247.09
  5. Step 5: Solve for x
    x = 238,941,247.09/20,805.26
  6. Step 6: Final answer
    x = 11,484.66

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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.