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Finding the Fourth Proportional to 13,825.04, 19,078.49 and 7,537.41

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Solution

The fourth proportional to 13,825.04, 19,078.49 and 7,537.41 is: 10,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.04 : 19,078.49 = 7,537.41 : x
  2. Step 2: Convert to fraction form
    13,825.04/19,078.49 = 7,537.41/x
  3. Step 3: Cross multiply
    13,825.04x = 19,078.49 × 7,537.41
  4. Step 4: Simplify right side
    13,825.04x = 143,802,420.15
  5. Step 5: Solve for x
    x = 143,802,420.15/13,825.04
  6. Step 6: Final answer
    x = 10,401.60

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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.