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Finding the Fourth Proportional to 13,297.60, 19,917.60 and 8,113.60

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Solution

The fourth proportional to 13,297.60, 19,917.60 and 8,113.60 is: 12,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.60 : 19,917.60 = 8,113.60 : x
  2. Step 2: Convert to fraction form
    13,297.60/19,917.60 = 8,113.60/x
  3. Step 3: Cross multiply
    13,297.60x = 19,917.60 × 8,113.60
  4. Step 4: Simplify right side
    13,297.60x = 161,603,439.36
  5. Step 5: Solve for x
    x = 161,603,439.36/13,297.60
  6. Step 6: Final answer
    x = 12,152.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.