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Finding the Fourth Proportional to 14,918.85, 20,588.00 and 8,204.92

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Solution

The fourth proportional to 14,918.85, 20,588.00 and 8,204.92 is: 11,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.85 : 20,588.00 = 8,204.92 : x
  2. Step 2: Convert to fraction form
    14,918.85/20,588.00 = 8,204.92/x
  3. Step 3: Cross multiply
    14,918.85x = 20,588.00 × 8,204.92
  4. Step 4: Simplify right side
    14,918.85x = 168,922,800.47
  5. Step 5: Solve for x
    x = 168,922,800.47/14,918.85
  6. Step 6: Final answer
    x = 11,322.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.