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Finding the Fourth Proportional to 14,548.75, 20,077.35 and 8,175.61

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Solution

The fourth proportional to 14,548.75, 20,077.35 and 8,175.61 is: 11,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.75 : 20,077.35 = 8,175.61 : x
  2. Step 2: Convert to fraction form
    14,548.75/20,077.35 = 8,175.61/x
  3. Step 3: Cross multiply
    14,548.75x = 20,077.35 × 8,175.61
  4. Step 4: Simplify right side
    14,548.75x = 164,144,583.43
  5. Step 5: Solve for x
    x = 164,144,583.43/14,548.75
  6. Step 6: Final answer
    x = 11,282.38

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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.