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Finding the Fourth Proportional to 16,728.41, 23,083.53 and 9,657.11

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Solution

The fourth proportional to 16,728.41, 23,083.53 and 9,657.11 is: 13,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.41 : 23,083.53 = 9,657.11 : x
  2. Step 2: Convert to fraction form
    16,728.41/23,083.53 = 9,657.11/x
  3. Step 3: Cross multiply
    16,728.41x = 23,083.53 × 9,657.11
  4. Step 4: Simplify right side
    16,728.41x = 222,920,188.40
  5. Step 5: Solve for x
    x = 222,920,188.40/16,728.41
  6. Step 6: Final answer
    x = 13,325.84

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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.