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Finding the Fourth Proportional to 17,605.94, 24,296.76 and 9,648.67

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Solution

The fourth proportional to 17,605.94, 24,296.76 and 9,648.67 is: 13,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.94 : 24,296.76 = 9,648.67 : x
  2. Step 2: Convert to fraction form
    17,605.94/24,296.76 = 9,648.67/x
  3. Step 3: Cross multiply
    17,605.94x = 24,296.76 × 9,648.67
  4. Step 4: Simplify right side
    17,605.94x = 234,431,419.31
  5. Step 5: Solve for x
    x = 234,431,419.31/17,605.94
  6. Step 6: Final answer
    x = 13,315.47

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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.