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Finding the Fourth Proportional to 14,192.35, 19,586.97 and 7,819.58

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Solution

The fourth proportional to 14,192.35, 19,586.97 and 7,819.58 is: 10,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.35 : 19,586.97 = 7,819.58 : x
  2. Step 2: Convert to fraction form
    14,192.35/19,586.97 = 7,819.58/x
  3. Step 3: Cross multiply
    14,192.35x = 19,586.97 × 7,819.58
  4. Step 4: Simplify right side
    14,192.35x = 153,161,927.84
  5. Step 5: Solve for x
    x = 153,161,927.84/14,192.35
  6. Step 6: Final answer
    x = 10,791.87

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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.