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Finding the Fourth Proportional to 17,763.34, 24,512.08 and 10,209.69

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Solution

The fourth proportional to 17,763.34, 24,512.08 and 10,209.69 is: 14,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.34 : 24,512.08 = 10,209.69 : x
  2. Step 2: Convert to fraction form
    17,763.34/24,512.08 = 10,209.69/x
  3. Step 3: Cross multiply
    17,763.34x = 24,512.08 × 10,209.69
  4. Step 4: Simplify right side
    17,763.34x = 250,260,738.06
  5. Step 5: Solve for x
    x = 250,260,738.06/17,763.34
  6. Step 6: Final answer
    x = 14,088.61

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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.