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Finding the Fourth Proportional to 16,833.66, 23,220.87 and 9,757.50

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Solution

The fourth proportional to 16,833.66, 23,220.87 and 9,757.50 is: 13,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.66 : 23,220.87 = 9,757.50 : x
  2. Step 2: Convert to fraction form
    16,833.66/23,220.87 = 9,757.50/x
  3. Step 3: Cross multiply
    16,833.66x = 23,220.87 × 9,757.50
  4. Step 4: Simplify right side
    16,833.66x = 226,577,639.03
  5. Step 5: Solve for x
    x = 226,577,639.03/16,833.66
  6. Step 6: Final answer
    x = 13,459.80

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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.