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Finding the Fourth Proportional to 13,257.89, 19,883.77 and 5,858.32

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Solution

The fourth proportional to 13,257.89, 19,883.77 and 5,858.32 is: 8,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.89 : 19,883.77 = 5,858.32 : x
  2. Step 2: Convert to fraction form
    13,257.89/19,883.77 = 5,858.32/x
  3. Step 3: Cross multiply
    13,257.89x = 19,883.77 × 5,858.32
  4. Step 4: Simplify right side
    13,257.89x = 116,485,423.11
  5. Step 5: Solve for x
    x = 116,485,423.11/13,257.89
  6. Step 6: Final answer
    x = 8,786.12

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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.