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Finding the Fourth Proportional to 24,542.34, 36,819.63 and 7,012.32

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Solution

The fourth proportional to 24,542.34, 36,819.63 and 7,012.32 is: 10,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.34 : 36,819.63 = 7,012.32 : x
  2. Step 2: Convert to fraction form
    24,542.34/36,819.63 = 7,012.32/x
  3. Step 3: Cross multiply
    24,542.34x = 36,819.63 × 7,012.32
  4. Step 4: Simplify right side
    24,542.34x = 258,191,027.84
  5. Step 5: Solve for x
    x = 258,191,027.84/24,542.34
  6. Step 6: Final answer
    x = 10,520.23

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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.