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Finding the Fourth Proportional to 19,151.68, 26,429.16 and 10,768

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Solution

The fourth proportional to 19,151.68, 26,429.16 and 10,768 is: 14,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,151.68 : 26,429.16 = 10,768 : x
  2. Step 2: Convert to fraction form
    19,151.68/26,429.16 = 10,768/x
  3. Step 3: Cross multiply
    19,151.68x = 26,429.16 × 10,768
  4. Step 4: Simplify right side
    19,151.68x = 284,589,194.88
  5. Step 5: Solve for x
    x = 284,589,194.88/19,151.68
  6. Step 6: Final answer
    x = 14,859.75

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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.