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Finding the Fourth Proportional to 12,884.17, 19,321.69 and 6,128.96

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Solution

The fourth proportional to 12,884.17, 19,321.69 and 6,128.96 is: 9,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.17 : 19,321.69 = 6,128.96 : x
  2. Step 2: Convert to fraction form
    12,884.17/19,321.69 = 6,128.96/x
  3. Step 3: Cross multiply
    12,884.17x = 19,321.69 × 6,128.96
  4. Step 4: Simplify right side
    12,884.17x = 118,421,865.14
  5. Step 5: Solve for x
    x = 118,421,865.14/12,884.17
  6. Step 6: Final answer
    x = 9,191.27

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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.