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Finding the Fourth Proportional to 11,453.82, 17,258.77 and 9,419.40

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Solution

The fourth proportional to 11,453.82, 17,258.77 and 9,419.40 is: 14,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.82 : 17,258.77 = 9,419.40 : x
  2. Step 2: Convert to fraction form
    11,453.82/17,258.77 = 9,419.40/x
  3. Step 3: Cross multiply
    11,453.82x = 17,258.77 × 9,419.40
  4. Step 4: Simplify right side
    11,453.82x = 162,567,258.14
  5. Step 5: Solve for x
    x = 162,567,258.14/11,453.82
  6. Step 6: Final answer
    x = 14,193.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.