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Finding the Fourth Proportional to 12,147.55, 16,763.23 and 7,431.83

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Solution

The fourth proportional to 12,147.55, 16,763.23 and 7,431.83 is: 10,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.55 : 16,763.23 = 7,431.83 : x
  2. Step 2: Convert to fraction form
    12,147.55/16,763.23 = 7,431.83/x
  3. Step 3: Cross multiply
    12,147.55x = 16,763.23 × 7,431.83
  4. Step 4: Simplify right side
    12,147.55x = 124,581,537.34
  5. Step 5: Solve for x
    x = 124,581,537.34/12,147.55
  6. Step 6: Final answer
    x = 10,255.69

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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.