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Finding the Fourth Proportional to 13,422.88, 18,513.31 and 9,119.30

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Solution

The fourth proportional to 13,422.88, 18,513.31 and 9,119.30 is: 12,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.88 : 18,513.31 = 9,119.30 : x
  2. Step 2: Convert to fraction form
    13,422.88/18,513.31 = 9,119.30/x
  3. Step 3: Cross multiply
    13,422.88x = 18,513.31 × 9,119.30
  4. Step 4: Simplify right side
    13,422.88x = 168,828,427.88
  5. Step 5: Solve for x
    x = 168,828,427.88/13,422.88
  6. Step 6: Final answer
    x = 12,577.66

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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.