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Finding the Fourth Proportional to 15,447.96, 23,177.74 and 7,131.96

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Solution

The fourth proportional to 15,447.96, 23,177.74 and 7,131.96 is: 10,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447.96 : 23,177.74 = 7,131.96 : x
  2. Step 2: Convert to fraction form
    15,447.96/23,177.74 = 7,131.96/x
  3. Step 3: Cross multiply
    15,447.96x = 23,177.74 × 7,131.96
  4. Step 4: Simplify right side
    15,447.96x = 165,302,714.57
  5. Step 5: Solve for x
    x = 165,302,714.57/15,447.96
  6. Step 6: Final answer
    x = 10,700.62

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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.