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Finding the Fourth Proportional to 14,378.80, 21,571.26 and 8,141.74

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Solution

The fourth proportional to 14,378.80, 21,571.26 and 8,141.74 is: 12,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.80 : 21,571.26 = 8,141.74 : x
  2. Step 2: Convert to fraction form
    14,378.80/21,571.26 = 8,141.74/x
  3. Step 3: Cross multiply
    14,378.80x = 21,571.26 × 8,141.74
  4. Step 4: Simplify right side
    14,378.80x = 175,627,590.39
  5. Step 5: Solve for x
    x = 175,627,590.39/14,378.80
  6. Step 6: Final answer
    x = 12,214.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.