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Finding the Fourth Proportional to 17,130.77, 23,647.74 and 10,418.55

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Solution

The fourth proportional to 17,130.77, 23,647.74 and 10,418.55 is: 14,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.77 : 23,647.74 = 10,418.55 : x
  2. Step 2: Convert to fraction form
    17,130.77/23,647.74 = 10,418.55/x
  3. Step 3: Cross multiply
    17,130.77x = 23,647.74 × 10,418.55
  4. Step 4: Simplify right side
    17,130.77x = 246,375,111.97
  5. Step 5: Solve for x
    x = 246,375,111.97/17,130.77
  6. Step 6: Final answer
    x = 14,382.03

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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.