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Finding the Fourth Proportional to 42,896.42, 64,326.81 and 16,586

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Solution

The fourth proportional to 42,896.42, 64,326.81 and 16,586 is: 24,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896.42 : 64,326.81 = 16,586 : x
  2. Step 2: Convert to fraction form
    42,896.42/64,326.81 = 16,586/x
  3. Step 3: Cross multiply
    42,896.42x = 64,326.81 × 16,586
  4. Step 4: Simplify right side
    42,896.42x = 1,066,924,470.66
  5. Step 5: Solve for x
    x = 1,066,924,470.66/42,896.42
  6. Step 6: Final answer
    x = 24,872.11

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