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Finding the Fourth Proportional to 16,800.98, 23,186.32 and 9,632.10

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Solution

The fourth proportional to 16,800.98, 23,186.32 and 9,632.10 is: 13,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.98 : 23,186.32 = 9,632.10 : x
  2. Step 2: Convert to fraction form
    16,800.98/23,186.32 = 9,632.10/x
  3. Step 3: Cross multiply
    16,800.98x = 23,186.32 × 9,632.10
  4. Step 4: Simplify right side
    16,800.98x = 223,332,952.87
  5. Step 5: Solve for x
    x = 223,332,952.87/16,800.98
  6. Step 6: Final answer
    x = 13,292.85

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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.