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Finding the Fourth Proportional to 13,258.36, 19,886.48 and 5,863.06

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Solution

The fourth proportional to 13,258.36, 19,886.48 and 5,863.06 is: 8,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.36 : 19,886.48 = 5,863.06 : x
  2. Step 2: Convert to fraction form
    13,258.36/19,886.48 = 5,863.06/x
  3. Step 3: Cross multiply
    13,258.36x = 19,886.48 × 5,863.06
  4. Step 4: Simplify right side
    13,258.36x = 116,595,625.43
  5. Step 5: Solve for x
    x = 116,595,625.43/13,258.36
  6. Step 6: Final answer
    x = 8,794.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.