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Finding the Fourth Proportional to 17,447.72, 24,080.18 and 11,178.32

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Solution

The fourth proportional to 17,447.72, 24,080.18 and 11,178.32 is: 15,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.72 : 24,080.18 = 11,178.32 : x
  2. Step 2: Convert to fraction form
    17,447.72/24,080.18 = 11,178.32/x
  3. Step 3: Cross multiply
    17,447.72x = 24,080.18 × 11,178.32
  4. Step 4: Simplify right side
    17,447.72x = 269,175,957.70
  5. Step 5: Solve for x
    x = 269,175,957.70/17,447.72
  6. Step 6: Final answer
    x = 15,427.57

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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.