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Finding the Fourth Proportional to 12,589.64, 17,374.15 and 7,213.04

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Solution

The fourth proportional to 12,589.64, 17,374.15 and 7,213.04 is: 9,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.64 : 17,374.15 = 7,213.04 : x
  2. Step 2: Convert to fraction form
    12,589.64/17,374.15 = 7,213.04/x
  3. Step 3: Cross multiply
    12,589.64x = 17,374.15 × 7,213.04
  4. Step 4: Simplify right side
    12,589.64x = 125,320,438.92
  5. Step 5: Solve for x
    x = 125,320,438.92/12,589.64
  6. Step 6: Final answer
    x = 9,954.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.