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Finding the Fourth Proportional to 13,577.52, 18,738 and 7,609.44

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Solution

The fourth proportional to 13,577.52, 18,738 and 7,609.44 is: 10,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.52 : 18,738 = 7,609.44 : x
  2. Step 2: Convert to fraction form
    13,577.52/18,738 = 7,609.44/x
  3. Step 3: Cross multiply
    13,577.52x = 18,738 × 7,609.44
  4. Step 4: Simplify right side
    13,577.52x = 142,585,686.72
  5. Step 5: Solve for x
    x = 142,585,686.72/13,577.52
  6. Step 6: Final answer
    x = 10,501.60

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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.