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Finding the Fourth Proportional to 23,582.10, 35,348.04 and 12,342.54

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Solution

The fourth proportional to 23,582.10, 35,348.04 and 12,342.54 is: 18,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.10 : 35,348.04 = 12,342.54 : x
  2. Step 2: Convert to fraction form
    23,582.10/35,348.04 = 12,342.54/x
  3. Step 3: Cross multiply
    23,582.10x = 35,348.04 × 12,342.54
  4. Step 4: Simplify right side
    23,582.10x = 436,284,597.62
  5. Step 5: Solve for x
    x = 436,284,597.62/23,582.10
  6. Step 6: Final answer
    x = 18,500.67

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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.