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Finding the Fourth Proportional to 12,958.56, 19,419.42 and 5,921.28

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Solution

The fourth proportional to 12,958.56, 19,419.42 and 5,921.28 is: 8,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.56 : 19,419.42 = 5,921.28 : x
  2. Step 2: Convert to fraction form
    12,958.56/19,419.42 = 5,921.28/x
  3. Step 3: Cross multiply
    12,958.56x = 19,419.42 × 5,921.28
  4. Step 4: Simplify right side
    12,958.56x = 114,987,823.26
  5. Step 5: Solve for x
    x = 114,987,823.26/12,958.56
  6. Step 6: Final answer
    x = 8,873.50

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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.