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Finding the Fourth Proportional to 14,599.76, 20,146.50 and 8,226

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Solution

The fourth proportional to 14,599.76, 20,146.50 and 8,226 is: 11,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599.76 : 20,146.50 = 8,226 : x
  2. Step 2: Convert to fraction form
    14,599.76/20,146.50 = 8,226/x
  3. Step 3: Cross multiply
    14,599.76x = 20,146.50 × 8,226
  4. Step 4: Simplify right side
    14,599.76x = 165,725,109
  5. Step 5: Solve for x
    x = 165,725,109/14,599.76
  6. Step 6: Final answer
    x = 11,351.22

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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.