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Finding the Fourth Proportional to 13,683.96, 20,503.44 and 5,779.98

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Solution

The fourth proportional to 13,683.96, 20,503.44 and 5,779.98 is: 8,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.96 : 20,503.44 = 5,779.98 : x
  2. Step 2: Convert to fraction form
    13,683.96/20,503.44 = 5,779.98/x
  3. Step 3: Cross multiply
    13,683.96x = 20,503.44 × 5,779.98
  4. Step 4: Simplify right side
    13,683.96x = 118,509,473.13
  5. Step 5: Solve for x
    x = 118,509,473.13/13,683.96
  6. Step 6: Final answer
    x = 8,660.47

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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.