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Finding the Fourth Proportional to 16,732.06, 23,083.86 and 9,655.90

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Solution

The fourth proportional to 16,732.06, 23,083.86 and 9,655.90 is: 13,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.06 : 23,083.86 = 9,655.90 : x
  2. Step 2: Convert to fraction form
    16,732.06/23,083.86 = 9,655.90/x
  3. Step 3: Cross multiply
    16,732.06x = 23,083.86 × 9,655.90
  4. Step 4: Simplify right side
    16,732.06x = 222,895,443.77
  5. Step 5: Solve for x
    x = 222,895,443.77/16,732.06
  6. Step 6: Final answer
    x = 13,321.46

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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.