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Finding the Fourth Proportional to 17,012, 25,474.48 and 15,433.76

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Solution

The fourth proportional to 17,012, 25,474.48 and 15,433.76 is: 23,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,012 : 25,474.48 = 15,433.76 : x
  2. Step 2: Convert to fraction form
    17,012/25,474.48 = 15,433.76/x
  3. Step 3: Cross multiply
    17,012x = 25,474.48 × 15,433.76
  4. Step 4: Simplify right side
    17,012x = 393,167,010.44
  5. Step 5: Solve for x
    x = 393,167,010.44/17,012
  6. Step 6: Final answer
    x = 23,111.16

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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.