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Finding the Fourth Proportional to 14,886.36, 20,538.96 and 9,584.24

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Solution

The fourth proportional to 14,886.36, 20,538.96 and 9,584.24 is: 13,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886.36 : 20,538.96 = 9,584.24 : x
  2. Step 2: Convert to fraction form
    14,886.36/20,538.96 = 9,584.24/x
  3. Step 3: Cross multiply
    14,886.36x = 20,538.96 × 9,584.24
  4. Step 4: Simplify right side
    14,886.36x = 196,850,321.99
  5. Step 5: Solve for x
    x = 196,850,321.99/14,886.36
  6. Step 6: Final answer
    x = 13,223.54

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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.