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Finding the Fourth Proportional to 12,339.60, 18,512.12 and 5,762.19

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Solution

The fourth proportional to 12,339.60, 18,512.12 and 5,762.19 is: 8,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.60 : 18,512.12 = 5,762.19 : x
  2. Step 2: Convert to fraction form
    12,339.60/18,512.12 = 5,762.19/x
  3. Step 3: Cross multiply
    12,339.60x = 18,512.12 × 5,762.19
  4. Step 4: Simplify right side
    12,339.60x = 106,670,352.74
  5. Step 5: Solve for x
    x = 106,670,352.74/12,339.60
  6. Step 6: Final answer
    x = 8,644.56

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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.