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Finding the Fourth Proportional to 14,771.38, 20,392.03 and 11,406.64

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Solution

The fourth proportional to 14,771.38, 20,392.03 and 11,406.64 is: 15,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.38 : 20,392.03 = 11,406.64 : x
  2. Step 2: Convert to fraction form
    14,771.38/20,392.03 = 11,406.64/x
  3. Step 3: Cross multiply
    14,771.38x = 20,392.03 × 11,406.64
  4. Step 4: Simplify right side
    14,771.38x = 232,604,514.51
  5. Step 5: Solve for x
    x = 232,604,514.51/14,771.38
  6. Step 6: Final answer
    x = 15,746.97

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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.