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Finding the Fourth Proportional to 14,882.42, 20,538.69 and 9,837.79

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Solution

The fourth proportional to 14,882.42, 20,538.69 and 9,837.79 is: 13,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.42 : 20,538.69 = 9,837.79 : x
  2. Step 2: Convert to fraction form
    14,882.42/20,538.69 = 9,837.79/x
  3. Step 3: Cross multiply
    14,882.42x = 20,538.69 × 9,837.79
  4. Step 4: Simplify right side
    14,882.42x = 202,055,319.10
  5. Step 5: Solve for x
    x = 202,055,319.10/14,882.42
  6. Step 6: Final answer
    x = 13,576.78

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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.