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Finding the Fourth Proportional to 13,924.33, 20,890.80 and 4,564.42

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Solution

The fourth proportional to 13,924.33, 20,890.80 and 4,564.42 is: 6,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.33 : 20,890.80 = 4,564.42 : x
  2. Step 2: Convert to fraction form
    13,924.33/20,890.80 = 4,564.42/x
  3. Step 3: Cross multiply
    13,924.33x = 20,890.80 × 4,564.42
  4. Step 4: Simplify right side
    13,924.33x = 95,354,333.11
  5. Step 5: Solve for x
    x = 95,354,333.11/13,924.33
  6. Step 6: Final answer
    x = 6,848.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.