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Finding the Fourth Proportional to 17,254.44, 23,812 and 10,538.98

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Solution

The fourth proportional to 17,254.44, 23,812 and 10,538.98 is: 14,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.44 : 23,812 = 10,538.98 : x
  2. Step 2: Convert to fraction form
    17,254.44/23,812 = 10,538.98/x
  3. Step 3: Cross multiply
    17,254.44x = 23,812 × 10,538.98
  4. Step 4: Simplify right side
    17,254.44x = 250,954,191.76
  5. Step 5: Solve for x
    x = 250,954,191.76/17,254.44
  6. Step 6: Final answer
    x = 14,544.33

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Why These Related Problems?

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