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Finding the Fourth Proportional to 17,736.12, 26,608.76 and 6,642.98

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Solution

The fourth proportional to 17,736.12, 26,608.76 and 6,642.98 is: 9,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736.12 : 26,608.76 = 6,642.98 : x
  2. Step 2: Convert to fraction form
    17,736.12/26,608.76 = 6,642.98/x
  3. Step 3: Cross multiply
    17,736.12x = 26,608.76 × 6,642.98
  4. Step 4: Simplify right side
    17,736.12x = 176,761,460.50
  5. Step 5: Solve for x
    x = 176,761,460.50/17,736.12
  6. Step 6: Final answer
    x = 9,966.19

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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.