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Finding the Fourth Proportional to 13,218, 19,834.68 and 5,922

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Solution

The fourth proportional to 13,218, 19,834.68 and 5,922 is: 8,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218 : 19,834.68 = 5,922 : x
  2. Step 2: Convert to fraction form
    13,218/19,834.68 = 5,922/x
  3. Step 3: Cross multiply
    13,218x = 19,834.68 × 5,922
  4. Step 4: Simplify right side
    13,218x = 117,460,974.96
  5. Step 5: Solve for x
    x = 117,460,974.96/13,218
  6. Step 6: Final answer
    x = 8,886.44

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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.