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Finding the Fourth Proportional to 15,758.96, 23,649.36 and 10,198.46

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Solution

The fourth proportional to 15,758.96, 23,649.36 and 10,198.46 is: 15,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.96 : 23,649.36 = 10,198.46 : x
  2. Step 2: Convert to fraction form
    15,758.96/23,649.36 = 10,198.46/x
  3. Step 3: Cross multiply
    15,758.96x = 23,649.36 × 10,198.46
  4. Step 4: Simplify right side
    15,758.96x = 241,187,051.99
  5. Step 5: Solve for x
    x = 241,187,051.99/15,758.96
  6. Step 6: Final answer
    x = 15,304.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.