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Finding the Fourth Proportional to 12,765.81, 19,134.52 and 9,635.67

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Solution

The fourth proportional to 12,765.81, 19,134.52 and 9,635.67 is: 14,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.81 : 19,134.52 = 9,635.67 : x
  2. Step 2: Convert to fraction form
    12,765.81/19,134.52 = 9,635.67/x
  3. Step 3: Cross multiply
    12,765.81x = 19,134.52 × 9,635.67
  4. Step 4: Simplify right side
    12,765.81x = 184,373,920.33
  5. Step 5: Solve for x
    x = 184,373,920.33/12,765.81
  6. Step 6: Final answer
    x = 14,442.79

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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.