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Finding the Fourth Proportional to 14,585.82, 20,128.38 and 8,212.41

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Solution

The fourth proportional to 14,585.82, 20,128.38 and 8,212.41 is: 11,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.82 : 20,128.38 = 8,212.41 : x
  2. Step 2: Convert to fraction form
    14,585.82/20,128.38 = 8,212.41/x
  3. Step 3: Cross multiply
    14,585.82x = 20,128.38 × 8,212.41
  4. Step 4: Simplify right side
    14,585.82x = 165,302,509.20
  5. Step 5: Solve for x
    x = 165,302,509.20/14,585.82
  6. Step 6: Final answer
    x = 11,333.10

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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.