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Finding the Fourth Proportional to 16,141.23, 24,213.69 and 5,047.65

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Solution

The fourth proportional to 16,141.23, 24,213.69 and 5,047.65 is: 7,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.23 : 24,213.69 = 5,047.65 : x
  2. Step 2: Convert to fraction form
    16,141.23/24,213.69 = 5,047.65/x
  3. Step 3: Cross multiply
    16,141.23x = 24,213.69 × 5,047.65
  4. Step 4: Simplify right side
    16,141.23x = 122,222,232.33
  5. Step 5: Solve for x
    x = 122,222,232.33/16,141.23
  6. Step 6: Final answer
    x = 7,572.05

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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.