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Finding the Fourth Proportional to 12,421, 18,633.94 and 5,495.50

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Solution

The fourth proportional to 12,421, 18,633.94 and 5,495.50 is: 8,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421 : 18,633.94 = 5,495.50 : x
  2. Step 2: Convert to fraction form
    12,421/18,633.94 = 5,495.50/x
  3. Step 3: Cross multiply
    12,421x = 18,633.94 × 5,495.50
  4. Step 4: Simplify right side
    12,421x = 102,402,817.27
  5. Step 5: Solve for x
    x = 102,402,817.27/12,421
  6. Step 6: Final answer
    x = 8,244.33

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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.