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Finding the Fourth Proportional to 14,537.48, 20,063.40 and 8,251

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Solution

The fourth proportional to 14,537.48, 20,063.40 and 8,251 is: 11,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.48 : 20,063.40 = 8,251 : x
  2. Step 2: Convert to fraction form
    14,537.48/20,063.40 = 8,251/x
  3. Step 3: Cross multiply
    14,537.48x = 20,063.40 × 8,251
  4. Step 4: Simplify right side
    14,537.48x = 165,543,113.40
  5. Step 5: Solve for x
    x = 165,543,113.40/14,537.48
  6. Step 6: Final answer
    x = 11,387.33

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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.