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Finding the Fourth Proportional to 14,188.14, 19,579.65 and 8,220.15

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Solution

The fourth proportional to 14,188.14, 19,579.65 and 8,220.15 is: 11,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.14 : 19,579.65 = 8,220.15 : x
  2. Step 2: Convert to fraction form
    14,188.14/19,579.65 = 8,220.15/x
  3. Step 3: Cross multiply
    14,188.14x = 19,579.65 × 8,220.15
  4. Step 4: Simplify right side
    14,188.14x = 160,947,659.95
  5. Step 5: Solve for x
    x = 160,947,659.95/14,188.14
  6. Step 6: Final answer
    x = 11,343.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.