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Finding the Fourth Proportional to 13,866.50, 20,784.74 and 5,537.36

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Solution

The fourth proportional to 13,866.50, 20,784.74 and 5,537.36 is: 8,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.50 : 20,784.74 = 5,537.36 : x
  2. Step 2: Convert to fraction form
    13,866.50/20,784.74 = 5,537.36/x
  3. Step 3: Cross multiply
    13,866.50x = 20,784.74 × 5,537.36
  4. Step 4: Simplify right side
    13,866.50x = 115,092,497.81
  5. Step 5: Solve for x
    x = 115,092,497.81/13,866.50
  6. Step 6: Final answer
    x = 8,300.04

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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.