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Finding the Fourth Proportional to 19,406, 26,779.02 and 11,447.84

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Solution

The fourth proportional to 19,406, 26,779.02 and 11,447.84 is: 15,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406 : 26,779.02 = 11,447.84 : x
  2. Step 2: Convert to fraction form
    19,406/26,779.02 = 11,447.84/x
  3. Step 3: Cross multiply
    19,406x = 26,779.02 × 11,447.84
  4. Step 4: Simplify right side
    19,406x = 306,561,936.32
  5. Step 5: Solve for x
    x = 306,561,936.32/19,406
  6. Step 6: Final answer
    x = 15,797.28

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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.