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Finding the Fourth Proportional to 14,504.96, 20,019.81 and 8,218.55

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Solution

The fourth proportional to 14,504.96, 20,019.81 and 8,218.55 is: 11,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.96 : 20,019.81 = 8,218.55 : x
  2. Step 2: Convert to fraction form
    14,504.96/20,019.81 = 8,218.55/x
  3. Step 3: Cross multiply
    14,504.96x = 20,019.81 × 8,218.55
  4. Step 4: Simplify right side
    14,504.96x = 164,533,709.38
  5. Step 5: Solve for x
    x = 164,533,709.38/14,504.96
  6. Step 6: Final answer
    x = 11,343.28

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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.