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Finding the Fourth Proportional to 12,643.85, 18,965.78 and 4,323.93

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Solution

The fourth proportional to 12,643.85, 18,965.78 and 4,323.93 is: 6,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.85 : 18,965.78 = 4,323.93 : x
  2. Step 2: Convert to fraction form
    12,643.85/18,965.78 = 4,323.93/x
  3. Step 3: Cross multiply
    12,643.85x = 18,965.78 × 4,323.93
  4. Step 4: Simplify right side
    12,643.85x = 82,006,683.50
  5. Step 5: Solve for x
    x = 82,006,683.50/12,643.85
  6. Step 6: Final answer
    x = 6,485.90

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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.