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Finding the Fourth Proportional to 13,819, 20,732.56 and 4,458.84

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Solution

The fourth proportional to 13,819, 20,732.56 and 4,458.84 is: 6,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819 : 20,732.56 = 4,458.84 : x
  2. Step 2: Convert to fraction form
    13,819/20,732.56 = 4,458.84/x
  3. Step 3: Cross multiply
    13,819x = 20,732.56 × 4,458.84
  4. Step 4: Simplify right side
    13,819x = 92,443,167.83
  5. Step 5: Solve for x
    x = 92,443,167.83/13,819
  6. Step 6: Final answer
    x = 6,689.57

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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.