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Finding the Fourth Proportional to 14,889.93, 20,548.38 and 8,176.24

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Solution

The fourth proportional to 14,889.93, 20,548.38 and 8,176.24 is: 11,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889.93 : 20,548.38 = 8,176.24 : x
  2. Step 2: Convert to fraction form
    14,889.93/20,548.38 = 8,176.24/x
  3. Step 3: Cross multiply
    14,889.93x = 20,548.38 × 8,176.24
  4. Step 4: Simplify right side
    14,889.93x = 168,008,542.84
  5. Step 5: Solve for x
    x = 168,008,542.84/14,889.93
  6. Step 6: Final answer
    x = 11,283.37

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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.