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Finding the Fourth Proportional to 14,478.39, 19,981.38 and 8,191.98

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Solution

The fourth proportional to 14,478.39, 19,981.38 and 8,191.98 is: 11,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.39 : 19,981.38 = 8,191.98 : x
  2. Step 2: Convert to fraction form
    14,478.39/19,981.38 = 8,191.98/x
  3. Step 3: Cross multiply
    14,478.39x = 19,981.38 × 8,191.98
  4. Step 4: Simplify right side
    14,478.39x = 163,687,065.33
  5. Step 5: Solve for x
    x = 163,687,065.33/14,478.39
  6. Step 6: Final answer
    x = 11,305.61

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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.