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Finding the Fourth Proportional to 15,768.29, 23,641.49 and 7,441.29

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Solution

The fourth proportional to 15,768.29, 23,641.49 and 7,441.29 is: 11,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.29 : 23,641.49 = 7,441.29 : x
  2. Step 2: Convert to fraction form
    15,768.29/23,641.49 = 7,441.29/x
  3. Step 3: Cross multiply
    15,768.29x = 23,641.49 × 7,441.29
  4. Step 4: Simplify right side
    15,768.29x = 175,923,145.92
  5. Step 5: Solve for x
    x = 175,923,145.92/15,768.29
  6. Step 6: Final answer
    x = 11,156.77

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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.