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Finding the Fourth Proportional to 15,808.50, 23,716.80 and 11,418.30

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Solution

The fourth proportional to 15,808.50, 23,716.80 and 11,418.30 is: 17,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.50 : 23,716.80 = 11,418.30 : x
  2. Step 2: Convert to fraction form
    15,808.50/23,716.80 = 11,418.30/x
  3. Step 3: Cross multiply
    15,808.50x = 23,716.80 × 11,418.30
  4. Step 4: Simplify right side
    15,808.50x = 270,805,537.44
  5. Step 5: Solve for x
    x = 270,805,537.44/15,808.50
  6. Step 6: Final answer
    x = 17,130.38

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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.