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Finding the Fourth Proportional to 12,780.92, 19,153.67 and 9,658.37

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Solution

The fourth proportional to 12,780.92, 19,153.67 and 9,658.37 is: 14,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.92 : 19,153.67 = 9,658.37 : x
  2. Step 2: Convert to fraction form
    12,780.92/19,153.67 = 9,658.37/x
  3. Step 3: Cross multiply
    12,780.92x = 19,153.67 × 9,658.37
  4. Step 4: Simplify right side
    12,780.92x = 184,993,231.31
  5. Step 5: Solve for x
    x = 184,993,231.31/12,780.92
  6. Step 6: Final answer
    x = 14,474.17

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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.