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Finding the Fourth Proportional to 14,741.40, 20,369.03 and 11,781.66

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Solution

The fourth proportional to 14,741.40, 20,369.03 and 11,781.66 is: 16,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.40 : 20,369.03 = 11,781.66 : x
  2. Step 2: Convert to fraction form
    14,741.40/20,369.03 = 11,781.66/x
  3. Step 3: Cross multiply
    14,741.40x = 20,369.03 × 11,781.66
  4. Step 4: Simplify right side
    14,741.40x = 239,980,927.08
  5. Step 5: Solve for x
    x = 239,980,927.08/14,741.40
  6. Step 6: Final answer
    x = 16,279.39

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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.