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Finding the Fourth Proportional to 13,258.88, 19,893.44 and 5,858.16

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Solution

The fourth proportional to 13,258.88, 19,893.44 and 5,858.16 is: 8,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.88 : 19,893.44 = 5,858.16 : x
  2. Step 2: Convert to fraction form
    13,258.88/19,893.44 = 5,858.16/x
  3. Step 3: Cross multiply
    13,258.88x = 19,893.44 × 5,858.16
  4. Step 4: Simplify right side
    13,258.88x = 116,538,954.47
  5. Step 5: Solve for x
    x = 116,538,954.47/13,258.88
  6. Step 6: Final answer
    x = 8,789.50

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Why These Related Problems?

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