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Finding the Fourth Proportional to 14,195.96, 19,590.03 and 7,822.58

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Solution

The fourth proportional to 14,195.96, 19,590.03 and 7,822.58 is: 10,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.96 : 19,590.03 = 7,822.58 : x
  2. Step 2: Convert to fraction form
    14,195.96/19,590.03 = 7,822.58/x
  3. Step 3: Cross multiply
    14,195.96x = 19,590.03 × 7,822.58
  4. Step 4: Simplify right side
    14,195.96x = 153,244,576.88
  5. Step 5: Solve for x
    x = 153,244,576.88/14,195.96
  6. Step 6: Final answer
    x = 10,794.94

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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.