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Finding the Fourth Proportional to 14,074.63, 19,421.29 and 8,108.23

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Solution

The fourth proportional to 14,074.63, 19,421.29 and 8,108.23 is: 11,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.63 : 19,421.29 = 8,108.23 : x
  2. Step 2: Convert to fraction form
    14,074.63/19,421.29 = 8,108.23/x
  3. Step 3: Cross multiply
    14,074.63x = 19,421.29 × 8,108.23
  4. Step 4: Simplify right side
    14,074.63x = 157,472,286.22
  5. Step 5: Solve for x
    x = 157,472,286.22/14,074.63
  6. Step 6: Final answer
    x = 11,188.38

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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.