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Finding the Fourth Proportional to 13,264.42, 19,863.36 and 7,924.31

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Solution

The fourth proportional to 13,264.42, 19,863.36 and 7,924.31 is: 11,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.42 : 19,863.36 = 7,924.31 : x
  2. Step 2: Convert to fraction form
    13,264.42/19,863.36 = 7,924.31/x
  3. Step 3: Cross multiply
    13,264.42x = 19,863.36 × 7,924.31
  4. Step 4: Simplify right side
    13,264.42x = 157,403,419.74
  5. Step 5: Solve for x
    x = 157,403,419.74/13,264.42
  6. Step 6: Final answer
    x = 11,866.59

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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.