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Finding the Fourth Proportional to 13,427.78, 18,508.80 and 9,119.54

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Solution

The fourth proportional to 13,427.78, 18,508.80 and 9,119.54 is: 12,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.78 : 18,508.80 = 9,119.54 : x
  2. Step 2: Convert to fraction form
    13,427.78/18,508.80 = 9,119.54/x
  3. Step 3: Cross multiply
    13,427.78x = 18,508.80 × 9,119.54
  4. Step 4: Simplify right side
    13,427.78x = 168,791,741.95
  5. Step 5: Solve for x
    x = 168,791,741.95/13,427.78
  6. Step 6: Final answer
    x = 12,570.34

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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.