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Finding the Fourth Proportional to 16,178.65, 24,268.10 and 5,085.09

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Solution

The fourth proportional to 16,178.65, 24,268.10 and 5,085.09 is: 7,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.65 : 24,268.10 = 5,085.09 : x
  2. Step 2: Convert to fraction form
    16,178.65/24,268.10 = 5,085.09/x
  3. Step 3: Cross multiply
    16,178.65x = 24,268.10 × 5,085.09
  4. Step 4: Simplify right side
    16,178.65x = 123,405,472.63
  5. Step 5: Solve for x
    x = 123,405,472.63/16,178.65
  6. Step 6: Final answer
    x = 7,627.67

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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.