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Finding the Fourth Proportional to 17,696.67, 24,421.50 and 9,738.69

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Solution

The fourth proportional to 17,696.67, 24,421.50 and 9,738.69 is: 13,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.67 : 24,421.50 = 9,738.69 : x
  2. Step 2: Convert to fraction form
    17,696.67/24,421.50 = 9,738.69/x
  3. Step 3: Cross multiply
    17,696.67x = 24,421.50 × 9,738.69
  4. Step 4: Simplify right side
    17,696.67x = 237,833,417.84
  5. Step 5: Solve for x
    x = 237,833,417.84/17,696.67
  6. Step 6: Final answer
    x = 13,439.44

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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.