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Finding the Fourth Proportional to 15,773.84, 23,609.73 and 11,612.96

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Solution

The fourth proportional to 15,773.84, 23,609.73 and 11,612.96 is: 17,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.84 : 23,609.73 = 11,612.96 : x
  2. Step 2: Convert to fraction form
    15,773.84/23,609.73 = 11,612.96/x
  3. Step 3: Cross multiply
    15,773.84x = 23,609.73 × 11,612.96
  4. Step 4: Simplify right side
    15,773.84x = 274,178,850.10
  5. Step 5: Solve for x
    x = 274,178,850.10/15,773.84
  6. Step 6: Final answer
    x = 17,381.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.