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Finding the Fourth Proportional to 14,151.41, 19,530.66 and 8,103.90

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Solution

The fourth proportional to 14,151.41, 19,530.66 and 8,103.90 is: 11,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.41 : 19,530.66 = 8,103.90 : x
  2. Step 2: Convert to fraction form
    14,151.41/19,530.66 = 8,103.90/x
  3. Step 3: Cross multiply
    14,151.41x = 19,530.66 × 8,103.90
  4. Step 4: Simplify right side
    14,151.41x = 158,274,515.57
  5. Step 5: Solve for x
    x = 158,274,515.57/14,151.41
  6. Step 6: Final answer
    x = 11,184.37

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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.