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Finding the Fourth Proportional to 14,881.36, 20,536.92 and 8,914

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Solution

The fourth proportional to 14,881.36, 20,536.92 and 8,914 is: 12,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.36 : 20,536.92 = 8,914 : x
  2. Step 2: Convert to fraction form
    14,881.36/20,536.92 = 8,914/x
  3. Step 3: Cross multiply
    14,881.36x = 20,536.92 × 8,914
  4. Step 4: Simplify right side
    14,881.36x = 183,066,104.88
  5. Step 5: Solve for x
    x = 183,066,104.88/14,881.36
  6. Step 6: Final answer
    x = 12,301.71

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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.