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Finding the Fourth Proportional to 13,122.60, 19,683.90 and 6,880.20

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Solution

The fourth proportional to 13,122.60, 19,683.90 and 6,880.20 is: 10,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.60 : 19,683.90 = 6,880.20 : x
  2. Step 2: Convert to fraction form
    13,122.60/19,683.90 = 6,880.20/x
  3. Step 3: Cross multiply
    13,122.60x = 19,683.90 × 6,880.20
  4. Step 4: Simplify right side
    13,122.60x = 135,429,168.78
  5. Step 5: Solve for x
    x = 135,429,168.78/13,122.60
  6. Step 6: Final answer
    x = 10,320.30

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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.