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Finding the Fourth Proportional to 20,307.43, 30,458.00 and 7,833.29

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Solution

The fourth proportional to 20,307.43, 30,458.00 and 7,833.29 is: 11,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.43 : 30,458.00 = 7,833.29 : x
  2. Step 2: Convert to fraction form
    20,307.43/30,458.00 = 7,833.29/x
  3. Step 3: Cross multiply
    20,307.43x = 30,458.00 × 7,833.29
  4. Step 4: Simplify right side
    20,307.43x = 238,586,442.55
  5. Step 5: Solve for x
    x = 238,586,442.55/20,307.43
  6. Step 6: Final answer
    x = 11,748.73

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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.