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Finding the Fourth Proportional to 8,230.70, 12,343.85 and 2,307.23

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Solution

The fourth proportional to 8,230.70, 12,343.85 and 2,307.23 is: 3,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.70 : 12,343.85 = 2,307.23 : x
  2. Step 2: Convert to fraction form
    8,230.70/12,343.85 = 2,307.23/x
  3. Step 3: Cross multiply
    8,230.70x = 12,343.85 × 2,307.23
  4. Step 4: Simplify right side
    8,230.70x = 28,480,027.78
  5. Step 5: Solve for x
    x = 28,480,027.78/8,230.70
  6. Step 6: Final answer
    x = 3,460.22

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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.