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Finding the Fourth Proportional to 14,842.09, 22,262.91 and 5,959.68

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Solution

The fourth proportional to 14,842.09, 22,262.91 and 5,959.68 is: 8,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.09 : 22,262.91 = 5,959.68 : x
  2. Step 2: Convert to fraction form
    14,842.09/22,262.91 = 5,959.68/x
  3. Step 3: Cross multiply
    14,842.09x = 22,262.91 × 5,959.68
  4. Step 4: Simplify right side
    14,842.09x = 132,679,838.86
  5. Step 5: Solve for x
    x = 132,679,838.86/14,842.09
  6. Step 6: Final answer
    x = 8,939.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.