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Finding the Fourth Proportional to 17,809.76, 24,588.66 and 11,438.92

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Solution

The fourth proportional to 17,809.76, 24,588.66 and 11,438.92 is: 15,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.76 : 24,588.66 = 11,438.92 : x
  2. Step 2: Convert to fraction form
    17,809.76/24,588.66 = 11,438.92/x
  3. Step 3: Cross multiply
    17,809.76x = 24,588.66 × 11,438.92
  4. Step 4: Simplify right side
    17,809.76x = 281,267,591.70
  5. Step 5: Solve for x
    x = 281,267,591.70/17,809.76
  6. Step 6: Final answer
    x = 15,792.90

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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.