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Finding the Fourth Proportional to 12,863.80, 19,295.70 and 5,466.40

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Solution

The fourth proportional to 12,863.80, 19,295.70 and 5,466.40 is: 8,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.80 : 19,295.70 = 5,466.40 : x
  2. Step 2: Convert to fraction form
    12,863.80/19,295.70 = 5,466.40/x
  3. Step 3: Cross multiply
    12,863.80x = 19,295.70 × 5,466.40
  4. Step 4: Simplify right side
    12,863.80x = 105,478,014.48
  5. Step 5: Solve for x
    x = 105,478,014.48/12,863.80
  6. Step 6: Final answer
    x = 8,199.60

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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.