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Finding the Fourth Proportional to 16,705.64, 23,053.80 and 9,632.54

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Solution

The fourth proportional to 16,705.64, 23,053.80 and 9,632.54 is: 13,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.64 : 23,053.80 = 9,632.54 : x
  2. Step 2: Convert to fraction form
    16,705.64/23,053.80 = 9,632.54/x
  3. Step 3: Cross multiply
    16,705.64x = 23,053.80 × 9,632.54
  4. Step 4: Simplify right side
    16,705.64x = 222,066,650.65
  5. Step 5: Solve for x
    x = 222,066,650.65/16,705.64
  6. Step 6: Final answer
    x = 13,292.91

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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.