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Finding the Fourth Proportional to 17,668.96, 24,376.18 and 11,385

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Solution

The fourth proportional to 17,668.96, 24,376.18 and 11,385 is: 15,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.96 : 24,376.18 = 11,385 : x
  2. Step 2: Convert to fraction form
    17,668.96/24,376.18 = 11,385/x
  3. Step 3: Cross multiply
    17,668.96x = 24,376.18 × 11,385
  4. Step 4: Simplify right side
    17,668.96x = 277,522,809.30
  5. Step 5: Solve for x
    x = 277,522,809.30/17,668.96
  6. Step 6: Final answer
    x = 15,706.80

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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.