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Finding the Fourth Proportional to 16,861.24, 25,298.40 and 6,998

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Solution

The fourth proportional to 16,861.24, 25,298.40 and 6,998 is: 10,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861.24 : 25,298.40 = 6,998 : x
  2. Step 2: Convert to fraction form
    16,861.24/25,298.40 = 6,998/x
  3. Step 3: Cross multiply
    16,861.24x = 25,298.40 × 6,998
  4. Step 4: Simplify right side
    16,861.24x = 177,038,203.20
  5. Step 5: Solve for x
    x = 177,038,203.20/16,861.24
  6. Step 6: Final answer
    x = 10,499.71

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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.