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Finding the Fourth Proportional to 14,576.10, 20,101.82 and 9,538.71

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Solution

The fourth proportional to 14,576.10, 20,101.82 and 9,538.71 is: 13,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.10 : 20,101.82 = 9,538.71 : x
  2. Step 2: Convert to fraction form
    14,576.10/20,101.82 = 9,538.71/x
  3. Step 3: Cross multiply
    14,576.10x = 20,101.82 × 9,538.71
  4. Step 4: Simplify right side
    14,576.10x = 191,745,383.76
  5. Step 5: Solve for x
    x = 191,745,383.76/14,576.10
  6. Step 6: Final answer
    x = 13,154.78

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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.