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Finding the Fourth Proportional to 21,006.87, 28,989.15 and 11,575.77

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Solution

The fourth proportional to 21,006.87, 28,989.15 and 11,575.77 is: 15,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.87 : 28,989.15 = 11,575.77 : x
  2. Step 2: Convert to fraction form
    21,006.87/28,989.15 = 11,575.77/x
  3. Step 3: Cross multiply
    21,006.87x = 28,989.15 × 11,575.77
  4. Step 4: Simplify right side
    21,006.87x = 335,571,732.90
  5. Step 5: Solve for x
    x = 335,571,732.90/21,006.87
  6. Step 6: Final answer
    x = 15,974.38

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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.