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Finding the Fourth Proportional to 11,964.64, 16,515.66 and 10,279.30

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Solution

The fourth proportional to 11,964.64, 16,515.66 and 10,279.30 is: 14,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.64 : 16,515.66 = 10,279.30 : x
  2. Step 2: Convert to fraction form
    11,964.64/16,515.66 = 10,279.30/x
  3. Step 3: Cross multiply
    11,964.64x = 16,515.66 × 10,279.30
  4. Step 4: Simplify right side
    11,964.64x = 169,769,423.84
  5. Step 5: Solve for x
    x = 169,769,423.84/11,964.64
  6. Step 6: Final answer
    x = 14,189.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.