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Finding the Fourth Proportional to 18,919.01, 26,107.21 and 10,419.47

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Solution

The fourth proportional to 18,919.01, 26,107.21 and 10,419.47 is: 14,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919.01 : 26,107.21 = 10,419.47 : x
  2. Step 2: Convert to fraction form
    18,919.01/26,107.21 = 10,419.47/x
  3. Step 3: Cross multiply
    18,919.01x = 26,107.21 × 10,419.47
  4. Step 4: Simplify right side
    18,919.01x = 272,023,291.38
  5. Step 5: Solve for x
    x = 272,023,291.38/18,919.01
  6. Step 6: Final answer
    x = 14,378.30

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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.