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Finding the Fourth Proportional to 16,753.98, 23,120.93 and 9,200.80

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Solution

The fourth proportional to 16,753.98, 23,120.93 and 9,200.80 is: 12,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.98 : 23,120.93 = 9,200.80 : x
  2. Step 2: Convert to fraction form
    16,753.98/23,120.93 = 9,200.80/x
  3. Step 3: Cross multiply
    16,753.98x = 23,120.93 × 9,200.80
  4. Step 4: Simplify right side
    16,753.98x = 212,731,017.94
  5. Step 5: Solve for x
    x = 212,731,017.94/16,753.98
  6. Step 6: Final answer
    x = 12,697.34

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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.