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Finding the Fourth Proportional to 19,424.84, 29,137.28 and 8,324.33

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Solution

The fourth proportional to 19,424.84, 29,137.28 and 8,324.33 is: 12,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424.84 : 29,137.28 = 8,324.33 : x
  2. Step 2: Convert to fraction form
    19,424.84/29,137.28 = 8,324.33/x
  3. Step 3: Cross multiply
    19,424.84x = 29,137.28 × 8,324.33
  4. Step 4: Simplify right side
    19,424.84x = 242,548,146.71
  5. Step 5: Solve for x
    x = 242,548,146.71/19,424.84
  6. Step 6: Final answer
    x = 12,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.