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Finding the Fourth Proportional to 23,023.34, 34,535.74 and 6,383.54

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Solution

The fourth proportional to 23,023.34, 34,535.74 and 6,383.54 is: 9,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023.34 : 34,535.74 = 6,383.54 : x
  2. Step 2: Convert to fraction form
    23,023.34/34,535.74 = 6,383.54/x
  3. Step 3: Cross multiply
    23,023.34x = 34,535.74 × 6,383.54
  4. Step 4: Simplify right side
    23,023.34x = 220,460,277.72
  5. Step 5: Solve for x
    x = 220,460,277.72/23,023.34
  6. Step 6: Final answer
    x = 9,575.51

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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.