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Finding the Fourth Proportional to 14,890.77, 20,549.48 and 8,177

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Solution

The fourth proportional to 14,890.77, 20,549.48 and 8,177 is: 11,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890.77 : 20,549.48 = 8,177 : x
  2. Step 2: Convert to fraction form
    14,890.77/20,549.48 = 8,177/x
  3. Step 3: Cross multiply
    14,890.77x = 20,549.48 × 8,177
  4. Step 4: Simplify right side
    14,890.77x = 168,033,097.96
  5. Step 5: Solve for x
    x = 168,033,097.96/14,890.77
  6. Step 6: Final answer
    x = 11,284.38

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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.