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Finding the Fourth Proportional to 14,506.83, 20,021.11 and 8,135.17

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Solution

The fourth proportional to 14,506.83, 20,021.11 and 8,135.17 is: 11,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.83 : 20,021.11 = 8,135.17 : x
  2. Step 2: Convert to fraction form
    14,506.83/20,021.11 = 8,135.17/x
  3. Step 3: Cross multiply
    14,506.83x = 20,021.11 × 8,135.17
  4. Step 4: Simplify right side
    14,506.83x = 162,875,063.05
  5. Step 5: Solve for x
    x = 162,875,063.05/14,506.83
  6. Step 6: Final answer
    x = 11,227.47

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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.