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Finding the Fourth Proportional to 11,689.20, 17,533.80 and 11,251.80

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Solution

The fourth proportional to 11,689.20, 17,533.80 and 11,251.80 is: 16,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.20 : 17,533.80 = 11,251.80 : x
  2. Step 2: Convert to fraction form
    11,689.20/17,533.80 = 11,251.80/x
  3. Step 3: Cross multiply
    11,689.20x = 17,533.80 × 11,251.80
  4. Step 4: Simplify right side
    11,689.20x = 197,286,810.84
  5. Step 5: Solve for x
    x = 197,286,810.84/11,689.20
  6. Step 6: Final answer
    x = 16,877.70

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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.