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Finding the Fourth Proportional to 16,823.54, 23,216.49 and 9,754.07

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Solution

The fourth proportional to 16,823.54, 23,216.49 and 9,754.07 is: 13,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.54 : 23,216.49 = 9,754.07 : x
  2. Step 2: Convert to fraction form
    16,823.54/23,216.49 = 9,754.07/x
  3. Step 3: Cross multiply
    16,823.54x = 23,216.49 × 9,754.07
  4. Step 4: Simplify right side
    16,823.54x = 226,455,152.53
  5. Step 5: Solve for x
    x = 226,455,152.53/16,823.54
  6. Step 6: Final answer
    x = 13,460.61

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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.