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Finding the Fourth Proportional to 17,741.69, 26,598.09 and 6,642.15

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Solution

The fourth proportional to 17,741.69, 26,598.09 and 6,642.15 is: 9,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.69 : 26,598.09 = 6,642.15 : x
  2. Step 2: Convert to fraction form
    17,741.69/26,598.09 = 6,642.15/x
  3. Step 3: Cross multiply
    17,741.69x = 26,598.09 × 6,642.15
  4. Step 4: Simplify right side
    17,741.69x = 176,668,503.49
  5. Step 5: Solve for x
    x = 176,668,503.49/17,741.69
  6. Step 6: Final answer
    x = 9,957.82

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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.