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Finding the Fourth Proportional to 12,567.60, 18,847.80 and 3,800.40

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Solution

The fourth proportional to 12,567.60, 18,847.80 and 3,800.40 is: 5,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.60 : 18,847.80 = 3,800.40 : x
  2. Step 2: Convert to fraction form
    12,567.60/18,847.80 = 3,800.40/x
  3. Step 3: Cross multiply
    12,567.60x = 18,847.80 × 3,800.40
  4. Step 4: Simplify right side
    12,567.60x = 71,629,179.12
  5. Step 5: Solve for x
    x = 71,629,179.12/12,567.60
  6. Step 6: Final answer
    x = 5,699.51

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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.