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Finding the Fourth Proportional to 12,509.93, 18,765.12 and 4,188.39

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Solution

The fourth proportional to 12,509.93, 18,765.12 and 4,188.39 is: 6,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.93 : 18,765.12 = 4,188.39 : x
  2. Step 2: Convert to fraction form
    12,509.93/18,765.12 = 4,188.39/x
  3. Step 3: Cross multiply
    12,509.93x = 18,765.12 × 4,188.39
  4. Step 4: Simplify right side
    12,509.93x = 78,595,620.01
  5. Step 5: Solve for x
    x = 78,595,620.01/12,509.93
  6. Step 6: Final answer
    x = 6,282.66

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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.