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Finding the Fourth Proportional to 17,696.72, 24,421.38 and 9,738.74

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Solution

The fourth proportional to 17,696.72, 24,421.38 and 9,738.74 is: 13,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.72 : 24,421.38 = 9,738.74 : x
  2. Step 2: Convert to fraction form
    17,696.72/24,421.38 = 9,738.74/x
  3. Step 3: Cross multiply
    17,696.72x = 24,421.38 × 9,738.74
  4. Step 4: Simplify right side
    17,696.72x = 237,833,470.26
  5. Step 5: Solve for x
    x = 237,833,470.26/17,696.72
  6. Step 6: Final answer
    x = 13,439.41

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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.