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Finding the Fourth Proportional to 17,286.48, 25,929.72 and 14,202

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Solution

The fourth proportional to 17,286.48, 25,929.72 and 14,202 is: 21,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.48 : 25,929.72 = 14,202 : x
  2. Step 2: Convert to fraction form
    17,286.48/25,929.72 = 14,202/x
  3. Step 3: Cross multiply
    17,286.48x = 25,929.72 × 14,202
  4. Step 4: Simplify right side
    17,286.48x = 368,253,883.44
  5. Step 5: Solve for x
    x = 368,253,883.44/17,286.48
  6. Step 6: Final answer
    x = 21,303

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