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Finding the Fourth Proportional to 14,625.44, 20,178 and 10,148

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Solution

The fourth proportional to 14,625.44, 20,178 and 10,148 is: 14,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.44 : 20,178 = 10,148 : x
  2. Step 2: Convert to fraction form
    14,625.44/20,178 = 10,148/x
  3. Step 3: Cross multiply
    14,625.44x = 20,178 × 10,148
  4. Step 4: Simplify right side
    14,625.44x = 204,766,344
  5. Step 5: Solve for x
    x = 204,766,344/14,625.44
  6. Step 6: Final answer
    x = 14,000.70

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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.