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Finding the Fourth Proportional to 16,823.50, 23,216.43 and 9,754.03

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Solution

The fourth proportional to 16,823.50, 23,216.43 and 9,754.03 is: 13,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.50 : 23,216.43 = 9,754.03 : x
  2. Step 2: Convert to fraction form
    16,823.50/23,216.43 = 9,754.03/x
  3. Step 3: Cross multiply
    16,823.50x = 23,216.43 × 9,754.03
  4. Step 4: Simplify right side
    16,823.50x = 226,453,754.71
  5. Step 5: Solve for x
    x = 226,453,754.71/16,823.50
  6. Step 6: Final answer
    x = 13,460.56

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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.