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Finding the Fourth Proportional to 14,193.36, 19,586.70 and 7,819.84

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Solution

The fourth proportional to 14,193.36, 19,586.70 and 7,819.84 is: 10,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.36 : 19,586.70 = 7,819.84 : x
  2. Step 2: Convert to fraction form
    14,193.36/19,586.70 = 7,819.84/x
  3. Step 3: Cross multiply
    14,193.36x = 19,586.70 × 7,819.84
  4. Step 4: Simplify right side
    14,193.36x = 153,164,860.13
  5. Step 5: Solve for x
    x = 153,164,860.13/14,193.36
  6. Step 6: Final answer
    x = 10,791.30

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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.