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Finding the Fourth Proportional to 16,705.92, 23,054.12 and 9,632.28

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Solution

The fourth proportional to 16,705.92, 23,054.12 and 9,632.28 is: 13,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.92 : 23,054.12 = 9,632.28 : x
  2. Step 2: Convert to fraction form
    16,705.92/23,054.12 = 9,632.28/x
  3. Step 3: Cross multiply
    16,705.92x = 23,054.12 × 9,632.28
  4. Step 4: Simplify right side
    16,705.92x = 222,063,738.99
  5. Step 5: Solve for x
    x = 222,063,738.99/16,705.92
  6. Step 6: Final answer
    x = 13,292.52

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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.