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Finding the Fourth Proportional to 16,823.72, 23,216.74 and 9,754.24

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Solution

The fourth proportional to 16,823.72, 23,216.74 and 9,754.24 is: 13,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.72 : 23,216.74 = 9,754.24 : x
  2. Step 2: Convert to fraction form
    16,823.72/23,216.74 = 9,754.24/x
  3. Step 3: Cross multiply
    16,823.72x = 23,216.74 × 9,754.24
  4. Step 4: Simplify right side
    16,823.72x = 226,461,653.98
  5. Step 5: Solve for x
    x = 226,461,653.98/16,823.72
  6. Step 6: Final answer
    x = 13,460.85

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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.