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Finding the Fourth Proportional to 11,256.30, 16,884.45 and 9,871.20

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Solution

The fourth proportional to 11,256.30, 16,884.45 and 9,871.20 is: 14,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.30 : 16,884.45 = 9,871.20 : x
  2. Step 2: Convert to fraction form
    11,256.30/16,884.45 = 9,871.20/x
  3. Step 3: Cross multiply
    11,256.30x = 16,884.45 × 9,871.20
  4. Step 4: Simplify right side
    11,256.30x = 166,669,782.84
  5. Step 5: Solve for x
    x = 166,669,782.84/11,256.30
  6. Step 6: Final answer
    x = 14,806.80

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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.