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Finding the Fourth Proportional to 16,823.48, 25,242.60 and 6,965

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Solution

The fourth proportional to 16,823.48, 25,242.60 and 6,965 is: 10,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.48 : 25,242.60 = 6,965 : x
  2. Step 2: Convert to fraction form
    16,823.48/25,242.60 = 6,965/x
  3. Step 3: Cross multiply
    16,823.48x = 25,242.60 × 6,965
  4. Step 4: Simplify right side
    16,823.48x = 175,814,709
  5. Step 5: Solve for x
    x = 175,814,709/16,823.48
  6. Step 6: Final answer
    x = 10,450.56

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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.