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Finding the Fourth Proportional to 13,745.72, 18,958.23 and 9,498.35

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Solution

The fourth proportional to 13,745.72, 18,958.23 and 9,498.35 is: 13,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.72 : 18,958.23 = 9,498.35 : x
  2. Step 2: Convert to fraction form
    13,745.72/18,958.23 = 9,498.35/x
  3. Step 3: Cross multiply
    13,745.72x = 18,958.23 × 9,498.35
  4. Step 4: Simplify right side
    13,745.72x = 180,071,809.13
  5. Step 5: Solve for x
    x = 180,071,809.13/13,745.72
  6. Step 6: Final answer
    x = 13,100.21

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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.