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Finding the Fourth Proportional to 14,151.41, 19,529.18 and 8,101.63

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Solution

The fourth proportional to 14,151.41, 19,529.18 and 8,101.63 is: 11,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.41 : 19,529.18 = 8,101.63 : x
  2. Step 2: Convert to fraction form
    14,151.41/19,529.18 = 8,101.63/x
  3. Step 3: Cross multiply
    14,151.41x = 19,529.18 × 8,101.63
  4. Step 4: Simplify right side
    14,151.41x = 158,218,204.85
  5. Step 5: Solve for x
    x = 158,218,204.85/14,151.41
  6. Step 6: Final answer
    x = 11,180.38

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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.