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Finding the Fourth Proportional to 23,805.84, 35,710.32 and 12,115.92

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Solution

The fourth proportional to 23,805.84, 35,710.32 and 12,115.92 is: 18,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.84 : 35,710.32 = 12,115.92 : x
  2. Step 2: Convert to fraction form
    23,805.84/35,710.32 = 12,115.92/x
  3. Step 3: Cross multiply
    23,805.84x = 35,710.32 × 12,115.92
  4. Step 4: Simplify right side
    23,805.84x = 432,663,380.29
  5. Step 5: Solve for x
    x = 432,663,380.29/23,805.84
  6. Step 6: Final answer
    x = 18,174.67

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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.