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Finding the Fourth Proportional to 15,744.36, 21,728.13 and 9,029.94

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Solution

The fourth proportional to 15,744.36, 21,728.13 and 9,029.94 is: 12,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.36 : 21,728.13 = 9,029.94 : x
  2. Step 2: Convert to fraction form
    15,744.36/21,728.13 = 9,029.94/x
  3. Step 3: Cross multiply
    15,744.36x = 21,728.13 × 9,029.94
  4. Step 4: Simplify right side
    15,744.36x = 196,203,710.21
  5. Step 5: Solve for x
    x = 196,203,710.21/15,744.36
  6. Step 6: Final answer
    x = 12,461.84

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