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Finding the Fourth Proportional to 14,258.36, 19,675.74 and 7,884.59

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Solution

The fourth proportional to 14,258.36, 19,675.74 and 7,884.59 is: 10,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.36 : 19,675.74 = 7,884.59 : x
  2. Step 2: Convert to fraction form
    14,258.36/19,675.74 = 7,884.59/x
  3. Step 3: Cross multiply
    14,258.36x = 19,675.74 × 7,884.59
  4. Step 4: Simplify right side
    14,258.36x = 155,135,142.85
  5. Step 5: Solve for x
    x = 155,135,142.85/14,258.36
  6. Step 6: Final answer
    x = 10,880.29

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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.