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Finding the Fourth Proportional to 12,813.63, 17,683.26 and 7,435.67

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Solution

The fourth proportional to 12,813.63, 17,683.26 and 7,435.67 is: 10,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.63 : 17,683.26 = 7,435.67 : x
  2. Step 2: Convert to fraction form
    12,813.63/17,683.26 = 7,435.67/x
  3. Step 3: Cross multiply
    12,813.63x = 17,683.26 × 7,435.67
  4. Step 4: Simplify right side
    12,813.63x = 131,486,797.47
  5. Step 5: Solve for x
    x = 131,486,797.47/12,813.63
  6. Step 6: Final answer
    x = 10,261.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.