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Finding the Fourth Proportional to 11,530.80, 17,274.24 and 9,694.08

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Solution

The fourth proportional to 11,530.80, 17,274.24 and 9,694.08 is: 14,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.80 : 17,274.24 = 9,694.08 : x
  2. Step 2: Convert to fraction form
    11,530.80/17,274.24 = 9,694.08/x
  3. Step 3: Cross multiply
    11,530.80x = 17,274.24 × 9,694.08
  4. Step 4: Simplify right side
    11,530.80x = 167,457,864.50
  5. Step 5: Solve for x
    x = 167,457,864.50/11,530.80
  6. Step 6: Final answer
    x = 14,522.66

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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.