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Finding the Fourth Proportional to 14,199.70, 19,595.60 and 8,234.84

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Solution

The fourth proportional to 14,199.70, 19,595.60 and 8,234.84 is: 11,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199.70 : 19,595.60 = 8,234.84 : x
  2. Step 2: Convert to fraction form
    14,199.70/19,595.60 = 8,234.84/x
  3. Step 3: Cross multiply
    14,199.70x = 19,595.60 × 8,234.84
  4. Step 4: Simplify right side
    14,199.70x = 161,366,553.31
  5. Step 5: Solve for x
    x = 161,366,553.31/14,199.70
  6. Step 6: Final answer
    x = 11,364.08

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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.