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Finding the Fourth Proportional to 14,165.41, 19,466.21 and 13,514.98

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Solution

The fourth proportional to 14,165.41, 19,466.21 and 13,514.98 is: 18,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.41 : 19,466.21 = 13,514.98 : x
  2. Step 2: Convert to fraction form
    14,165.41/19,466.21 = 13,514.98/x
  3. Step 3: Cross multiply
    14,165.41x = 19,466.21 × 13,514.98
  4. Step 4: Simplify right side
    14,165.41x = 263,085,438.83
  5. Step 5: Solve for x
    x = 263,085,438.83/14,165.41
  6. Step 6: Final answer
    x = 18,572.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.