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Finding the Fourth Proportional to 11,323.68, 16,909.26 and 9,247.80

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Solution

The fourth proportional to 11,323.68, 16,909.26 and 9,247.80 is: 13,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.68 : 16,909.26 = 9,247.80 : x
  2. Step 2: Convert to fraction form
    11,323.68/16,909.26 = 9,247.80/x
  3. Step 3: Cross multiply
    11,323.68x = 16,909.26 × 9,247.80
  4. Step 4: Simplify right side
    11,323.68x = 156,373,454.63
  5. Step 5: Solve for x
    x = 156,373,454.63/11,323.68
  6. Step 6: Final answer
    x = 13,809.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.