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Finding the Fourth Proportional to 13,505.88, 18,638.16 and 7,537.44

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Solution

The fourth proportional to 13,505.88, 18,638.16 and 7,537.44 is: 10,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.88 : 18,638.16 = 7,537.44 : x
  2. Step 2: Convert to fraction form
    13,505.88/18,638.16 = 7,537.44/x
  3. Step 3: Cross multiply
    13,505.88x = 18,638.16 × 7,537.44
  4. Step 4: Simplify right side
    13,505.88x = 140,484,012.71
  5. Step 5: Solve for x
    x = 140,484,012.71/13,505.88
  6. Step 6: Final answer
    x = 10,401.69

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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.