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Finding the Fourth Proportional to 12,023.75, 16,592.74 and 7,246.44

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Solution

The fourth proportional to 12,023.75, 16,592.74 and 7,246.44 is: 10,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.75 : 16,592.74 = 7,246.44 : x
  2. Step 2: Convert to fraction form
    12,023.75/16,592.74 = 7,246.44/x
  3. Step 3: Cross multiply
    12,023.75x = 16,592.74 × 7,246.44
  4. Step 4: Simplify right side
    12,023.75x = 120,238,294.85
  5. Step 5: Solve for x
    x = 120,238,294.85/12,023.75
  6. Step 6: Final answer
    x = 10,000.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.