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Finding the Fourth Proportional to 20,922.48, 31,380.93 and 7,773.06

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Solution

The fourth proportional to 20,922.48, 31,380.93 and 7,773.06 is: 11,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922.48 : 31,380.93 = 7,773.06 : x
  2. Step 2: Convert to fraction form
    20,922.48/31,380.93 = 7,773.06/x
  3. Step 3: Cross multiply
    20,922.48x = 31,380.93 × 7,773.06
  4. Step 4: Simplify right side
    20,922.48x = 243,925,851.75
  5. Step 5: Solve for x
    x = 243,925,851.75/20,922.48
  6. Step 6: Final answer
    x = 11,658.55

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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.