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Finding the Fourth Proportional to 21,009.64, 28,993.12 and 11,578

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Solution

The fourth proportional to 21,009.64, 28,993.12 and 11,578 is: 15,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.64 : 28,993.12 = 11,578 : x
  2. Step 2: Convert to fraction form
    21,009.64/28,993.12 = 11,578/x
  3. Step 3: Cross multiply
    21,009.64x = 28,993.12 × 11,578
  4. Step 4: Simplify right side
    21,009.64x = 335,682,343.36
  5. Step 5: Solve for x
    x = 335,682,343.36/21,009.64
  6. Step 6: Final answer
    x = 15,977.54

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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.