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Finding the Fourth Proportional to 11,882.88, 17,824.24 and 9,288

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Solution

The fourth proportional to 11,882.88, 17,824.24 and 9,288 is: 13,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.88 : 17,824.24 = 9,288 : x
  2. Step 2: Convert to fraction form
    11,882.88/17,824.24 = 9,288/x
  3. Step 3: Cross multiply
    11,882.88x = 17,824.24 × 9,288
  4. Step 4: Simplify right side
    11,882.88x = 165,551,541.12
  5. Step 5: Solve for x
    x = 165,551,541.12/11,882.88
  6. Step 6: Final answer
    x = 13,931.94

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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.