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Finding the Fourth Proportional to 13,422.94, 20,128.76 and 5,098.36

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Solution

The fourth proportional to 13,422.94, 20,128.76 and 5,098.36 is: 7,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.94 : 20,128.76 = 5,098.36 : x
  2. Step 2: Convert to fraction form
    13,422.94/20,128.76 = 5,098.36/x
  3. Step 3: Cross multiply
    13,422.94x = 20,128.76 × 5,098.36
  4. Step 4: Simplify right side
    13,422.94x = 102,623,564.19
  5. Step 5: Solve for x
    x = 102,623,564.19/13,422.94
  6. Step 6: Final answer
    x = 7,645.39

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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.