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Finding the Fourth Proportional to 14,882.44, 20,538.69 and 9,837.91

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Solution

The fourth proportional to 14,882.44, 20,538.69 and 9,837.91 is: 13,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.44 : 20,538.69 = 9,837.91 : x
  2. Step 2: Convert to fraction form
    14,882.44/20,538.69 = 9,837.91/x
  3. Step 3: Cross multiply
    14,882.44x = 20,538.69 × 9,837.91
  4. Step 4: Simplify right side
    14,882.44x = 202,057,783.74
  5. Step 5: Solve for x
    x = 202,057,783.74/14,882.44
  6. Step 6: Final answer
    x = 13,576.93

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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.