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Finding the Fourth Proportional to 17,842.94, 26,763.06 and 6,748.64

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Solution

The fourth proportional to 17,842.94, 26,763.06 and 6,748.64 is: 10,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.94 : 26,763.06 = 6,748.64 : x
  2. Step 2: Convert to fraction form
    17,842.94/26,763.06 = 6,748.64/x
  3. Step 3: Cross multiply
    17,842.94x = 26,763.06 × 6,748.64
  4. Step 4: Simplify right side
    17,842.94x = 180,614,257.24
  5. Step 5: Solve for x
    x = 180,614,257.24/17,842.94
  6. Step 6: Final answer
    x = 10,122.45

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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.