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Finding the Fourth Proportional to 19,284.14, 26,607.24 and 11,324.81

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Solution

The fourth proportional to 19,284.14, 26,607.24 and 11,324.81 is: 15,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284.14 : 26,607.24 = 11,324.81 : x
  2. Step 2: Convert to fraction form
    19,284.14/26,607.24 = 11,324.81/x
  3. Step 3: Cross multiply
    19,284.14x = 26,607.24 × 11,324.81
  4. Step 4: Simplify right side
    19,284.14x = 301,321,937.62
  5. Step 5: Solve for x
    x = 301,321,937.62/19,284.14
  6. Step 6: Final answer
    x = 15,625.38

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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.