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Finding the Fourth Proportional to 13,423.84, 18,526.52 and 8,119.15

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Solution

The fourth proportional to 13,423.84, 18,526.52 and 8,119.15 is: 11,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.84 : 18,526.52 = 8,119.15 : x
  2. Step 2: Convert to fraction form
    13,423.84/18,526.52 = 8,119.15/x
  3. Step 3: Cross multiply
    13,423.84x = 18,526.52 × 8,119.15
  4. Step 4: Simplify right side
    13,423.84x = 150,419,594.86
  5. Step 5: Solve for x
    x = 150,419,594.86/13,423.84
  6. Step 6: Final answer
    x = 11,205.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.