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Finding the Fourth Proportional to 21,354.00, 29,468.74 and 11,794.13

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Solution

The fourth proportional to 21,354.00, 29,468.74 and 11,794.13 is: 16,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.00 : 29,468.74 = 11,794.13 : x
  2. Step 2: Convert to fraction form
    21,354.00/29,468.74 = 11,794.13/x
  3. Step 3: Cross multiply
    21,354.00x = 29,468.74 × 11,794.13
  4. Step 4: Simplify right side
    21,354.00x = 347,557,944.18
  5. Step 5: Solve for x
    x = 347,557,944.18/21,354.00
  6. Step 6: Final answer
    x = 16,276.02

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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.