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Finding the Fourth Proportional to 21,050.20, 29,055 and 12,098.62

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Solution

The fourth proportional to 21,050.20, 29,055 and 12,098.62 is: 16,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,050.20 : 29,055 = 12,098.62 : x
  2. Step 2: Convert to fraction form
    21,050.20/29,055 = 12,098.62/x
  3. Step 3: Cross multiply
    21,050.20x = 29,055 × 12,098.62
  4. Step 4: Simplify right side
    21,050.20x = 351,525,404.10
  5. Step 5: Solve for x
    x = 351,525,404.10/21,050.20
  6. Step 6: Final answer
    x = 16,699.39

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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.