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Finding the Fourth Proportional to 13,504.36, 18,636.95 and 7,537.19

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Solution

The fourth proportional to 13,504.36, 18,636.95 and 7,537.19 is: 10,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.36 : 18,636.95 = 7,537.19 : x
  2. Step 2: Convert to fraction form
    13,504.36/18,636.95 = 7,537.19/x
  3. Step 3: Cross multiply
    13,504.36x = 18,636.95 × 7,537.19
  4. Step 4: Simplify right side
    13,504.36x = 140,470,233.17
  5. Step 5: Solve for x
    x = 140,470,233.17/13,504.36
  6. Step 6: Final answer
    x = 10,401.84

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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.