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Finding the Fourth Proportional to 13,421.92, 18,515.23 and 9,113.49

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Solution

The fourth proportional to 13,421.92, 18,515.23 and 9,113.49 is: 12,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.92 : 18,515.23 = 9,113.49 : x
  2. Step 2: Convert to fraction form
    13,421.92/18,515.23 = 9,113.49/x
  3. Step 3: Cross multiply
    13,421.92x = 18,515.23 × 9,113.49
  4. Step 4: Simplify right side
    13,421.92x = 168,738,339.86
  5. Step 5: Solve for x
    x = 168,738,339.86/13,421.92
  6. Step 6: Final answer
    x = 12,571.85

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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.