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Finding the Fourth Proportional to 19,419.21, 26,797.65 and 11,878.20

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Solution

The fourth proportional to 19,419.21, 26,797.65 and 11,878.20 is: 16,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.21 : 26,797.65 = 11,878.20 : x
  2. Step 2: Convert to fraction form
    19,419.21/26,797.65 = 11,878.20/x
  3. Step 3: Cross multiply
    19,419.21x = 26,797.65 × 11,878.20
  4. Step 4: Simplify right side
    19,419.21x = 318,307,846.23
  5. Step 5: Solve for x
    x = 318,307,846.23/19,419.21
  6. Step 6: Final answer
    x = 16,391.39

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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.