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Finding the Fourth Proportional to 12,851.20, 19,280.40 and 5,459.20

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Solution

The fourth proportional to 12,851.20, 19,280.40 and 5,459.20 is: 8,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.20 : 19,280.40 = 5,459.20 : x
  2. Step 2: Convert to fraction form
    12,851.20/19,280.40 = 5,459.20/x
  3. Step 3: Cross multiply
    12,851.20x = 19,280.40 × 5,459.20
  4. Step 4: Simplify right side
    12,851.20x = 105,255,559.68
  5. Step 5: Solve for x
    x = 105,255,559.68/12,851.20
  6. Step 6: Final answer
    x = 8,190.33

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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.