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Finding the Fourth Proportional to 10,298.80, 14,213.24 and 8,617.24

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Solution

The fourth proportional to 10,298.80, 14,213.24 and 8,617.24 is: 11,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.80 : 14,213.24 = 8,617.24 : x
  2. Step 2: Convert to fraction form
    10,298.80/14,213.24 = 8,617.24/x
  3. Step 3: Cross multiply
    10,298.80x = 14,213.24 × 8,617.24
  4. Step 4: Simplify right side
    10,298.80x = 122,478,900.26
  5. Step 5: Solve for x
    x = 122,478,900.26/10,298.80
  6. Step 6: Final answer
    x = 11,892.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.