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Finding the Fourth Proportional to 13,409.69, 20,099.95 and 5,609.39

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Solution

The fourth proportional to 13,409.69, 20,099.95 and 5,609.39 is: 8,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.69 : 20,099.95 = 5,609.39 : x
  2. Step 2: Convert to fraction form
    13,409.69/20,099.95 = 5,609.39/x
  3. Step 3: Cross multiply
    13,409.69x = 20,099.95 × 5,609.39
  4. Step 4: Simplify right side
    13,409.69x = 112,748,344.01
  5. Step 5: Solve for x
    x = 112,748,344.01/13,409.69
  6. Step 6: Final answer
    x = 8,407.98

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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.