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Finding the Fourth Proportional to 19,927.36, 29,888.96 and 8,834.24

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Solution

The fourth proportional to 19,927.36, 29,888.96 and 8,834.24 is: 13,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.36 : 29,888.96 = 8,834.24 : x
  2. Step 2: Convert to fraction form
    19,927.36/29,888.96 = 8,834.24/x
  3. Step 3: Cross multiply
    19,927.36x = 29,888.96 × 8,834.24
  4. Step 4: Simplify right side
    19,927.36x = 264,046,245.99
  5. Step 5: Solve for x
    x = 264,046,245.99/19,927.36
  6. Step 6: Final answer
    x = 13,250.44

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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.