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Finding the Fourth Proportional to 17,784, 26,670.96 and 7,382.88

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Solution

The fourth proportional to 17,784, 26,670.96 and 7,382.88 is: 11,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 26,670.96 = 7,382.88 : x
  2. Step 2: Convert to fraction form
    17,784/26,670.96 = 7,382.88/x
  3. Step 3: Cross multiply
    17,784x = 26,670.96 × 7,382.88
  4. Step 4: Simplify right side
    17,784x = 196,908,497.16
  5. Step 5: Solve for x
    x = 196,908,497.16/17,784
  6. Step 6: Final answer
    x = 11,072.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.