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Finding the Fourth Proportional to 13,423.94, 20,130.26 and 5,099.36

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Solution

The fourth proportional to 13,423.94, 20,130.26 and 5,099.36 is: 7,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.94 : 20,130.26 = 5,099.36 : x
  2. Step 2: Convert to fraction form
    13,423.94/20,130.26 = 5,099.36/x
  3. Step 3: Cross multiply
    13,423.94x = 20,130.26 × 5,099.36
  4. Step 4: Simplify right side
    13,423.94x = 102,651,354.73
  5. Step 5: Solve for x
    x = 102,651,354.73/13,423.94
  6. Step 6: Final answer
    x = 7,646.89

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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.