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Finding the Fourth Proportional to 13,642.28, 20,467.74 and 4,877

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Solution

The fourth proportional to 13,642.28, 20,467.74 and 4,877 is: 7,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.28 : 20,467.74 = 4,877 : x
  2. Step 2: Convert to fraction form
    13,642.28/20,467.74 = 4,877/x
  3. Step 3: Cross multiply
    13,642.28x = 20,467.74 × 4,877
  4. Step 4: Simplify right side
    13,642.28x = 99,821,167.98
  5. Step 5: Solve for x
    x = 99,821,167.98/13,642.28
  6. Step 6: Final answer
    x = 7,317.04

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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.