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Finding the Fourth Proportional to 16,962.88, 25,431.36 and 11,416

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Solution

The fourth proportional to 16,962.88, 25,431.36 and 11,416 is: 17,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.88 : 25,431.36 = 11,416 : x
  2. Step 2: Convert to fraction form
    16,962.88/25,431.36 = 11,416/x
  3. Step 3: Cross multiply
    16,962.88x = 25,431.36 × 11,416
  4. Step 4: Simplify right side
    16,962.88x = 290,324,405.76
  5. Step 5: Solve for x
    x = 290,324,405.76/16,962.88
  6. Step 6: Final answer
    x = 17,115.28

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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.