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Finding the Fourth Proportional to 13,683.65, 20,525.48 and 6,294.33

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Solution

The fourth proportional to 13,683.65, 20,525.48 and 6,294.33 is: 9,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.65 : 20,525.48 = 6,294.33 : x
  2. Step 2: Convert to fraction form
    13,683.65/20,525.48 = 6,294.33/x
  3. Step 3: Cross multiply
    13,683.65x = 20,525.48 × 6,294.33
  4. Step 4: Simplify right side
    13,683.65x = 129,194,160.26
  5. Step 5: Solve for x
    x = 129,194,160.26/13,683.65
  6. Step 6: Final answer
    x = 9,441.50

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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.