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Finding the Fourth Proportional to 16,824.24, 23,217.48 and 9,750.24

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Solution

The fourth proportional to 16,824.24, 23,217.48 and 9,750.24 is: 13,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.24 : 23,217.48 = 9,750.24 : x
  2. Step 2: Convert to fraction form
    16,824.24/23,217.48 = 9,750.24/x
  3. Step 3: Cross multiply
    16,824.24x = 23,217.48 × 9,750.24
  4. Step 4: Simplify right side
    16,824.24x = 226,376,002.20
  5. Step 5: Solve for x
    x = 226,376,002.20/16,824.24
  6. Step 6: Final answer
    x = 13,455.35

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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.