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Finding the Fourth Proportional to 11,206.32, 16,824.36 and 9,573.36

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Solution

The fourth proportional to 11,206.32, 16,824.36 and 9,573.36 is: 14,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.32 : 16,824.36 = 9,573.36 : x
  2. Step 2: Convert to fraction form
    11,206.32/16,824.36 = 9,573.36/x
  3. Step 3: Cross multiply
    11,206.32x = 16,824.36 × 9,573.36
  4. Step 4: Simplify right side
    11,206.32x = 161,065,655.05
  5. Step 5: Solve for x
    x = 161,065,655.05/11,206.32
  6. Step 6: Final answer
    x = 14,372.75

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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.