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Finding the Fourth Proportional to 16,582.86, 22,882.71 and 9,866.46

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Solution

The fourth proportional to 16,582.86, 22,882.71 and 9,866.46 is: 13,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.86 : 22,882.71 = 9,866.46 : x
  2. Step 2: Convert to fraction form
    16,582.86/22,882.71 = 9,866.46/x
  3. Step 3: Cross multiply
    16,582.86x = 22,882.71 × 9,866.46
  4. Step 4: Simplify right side
    16,582.86x = 225,771,342.91
  5. Step 5: Solve for x
    x = 225,771,342.91/16,582.86
  6. Step 6: Final answer
    x = 13,614.74

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