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Finding the Fourth Proportional to 14,825, 20,459.14 and 8,201

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Solution

The fourth proportional to 14,825, 20,459.14 and 8,201 is: 11,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825 : 20,459.14 = 8,201 : x
  2. Step 2: Convert to fraction form
    14,825/20,459.14 = 8,201/x
  3. Step 3: Cross multiply
    14,825x = 20,459.14 × 8,201
  4. Step 4: Simplify right side
    14,825x = 167,785,407.14
  5. Step 5: Solve for x
    x = 167,785,407.14/14,825
  6. Step 6: Final answer
    x = 11,317.73

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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.