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Finding the Fourth Proportional to 14,110.40, 19,474.90 and 8,141.24

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Solution

The fourth proportional to 14,110.40, 19,474.90 and 8,141.24 is: 11,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.40 : 19,474.90 = 8,141.24 : x
  2. Step 2: Convert to fraction form
    14,110.40/19,474.90 = 8,141.24/x
  3. Step 3: Cross multiply
    14,110.40x = 19,474.90 × 8,141.24
  4. Step 4: Simplify right side
    14,110.40x = 158,549,834.88
  5. Step 5: Solve for x
    x = 158,549,834.88/14,110.40
  6. Step 6: Final answer
    x = 11,236.38

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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.