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Finding the Fourth Proportional to 21,048.30, 29,046.74 and 11,616.84

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Solution

The fourth proportional to 21,048.30, 29,046.74 and 11,616.84 is: 16,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.30 : 29,046.74 = 11,616.84 : x
  2. Step 2: Convert to fraction form
    21,048.30/29,046.74 = 11,616.84/x
  3. Step 3: Cross multiply
    21,048.30x = 29,046.74 × 11,616.84
  4. Step 4: Simplify right side
    21,048.30x = 337,431,273.02
  5. Step 5: Solve for x
    x = 337,431,273.02/21,048.30
  6. Step 6: Final answer
    x = 16,031.28

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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.