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Finding the Fourth Proportional to 12,880.40, 19,320.60 and 3,646.48

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Solution

The fourth proportional to 12,880.40, 19,320.60 and 3,646.48 is: 5,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.40 : 19,320.60 = 3,646.48 : x
  2. Step 2: Convert to fraction form
    12,880.40/19,320.60 = 3,646.48/x
  3. Step 3: Cross multiply
    12,880.40x = 19,320.60 × 3,646.48
  4. Step 4: Simplify right side
    12,880.40x = 70,452,181.49
  5. Step 5: Solve for x
    x = 70,452,181.49/12,880.40
  6. Step 6: Final answer
    x = 5,469.72

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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.