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Finding the Fourth Proportional to 13,861.50, 20,779.56 and 5,089.74

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Solution

The fourth proportional to 13,861.50, 20,779.56 and 5,089.74 is: 7,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.50 : 20,779.56 = 5,089.74 : x
  2. Step 2: Convert to fraction form
    13,861.50/20,779.56 = 5,089.74/x
  3. Step 3: Cross multiply
    13,861.50x = 20,779.56 × 5,089.74
  4. Step 4: Simplify right side
    13,861.50x = 105,762,557.71
  5. Step 5: Solve for x
    x = 105,762,557.71/13,861.50
  6. Step 6: Final answer
    x = 7,629.95

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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.