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Finding the Fourth Proportional to 14,388, 19,855.44 and 9,974.56

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Solution

The fourth proportional to 14,388, 19,855.44 and 9,974.56 is: 13,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388 : 19,855.44 = 9,974.56 : x
  2. Step 2: Convert to fraction form
    14,388/19,855.44 = 9,974.56/x
  3. Step 3: Cross multiply
    14,388x = 19,855.44 × 9,974.56
  4. Step 4: Simplify right side
    14,388x = 198,049,277.61
  5. Step 5: Solve for x
    x = 198,049,277.61/14,388
  6. Step 6: Final answer
    x = 13,764.89

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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.