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Finding the Fourth Proportional to 14,635.71, 20,183.57 and 9,715.63

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Solution

The fourth proportional to 14,635.71, 20,183.57 and 9,715.63 is: 13,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.71 : 20,183.57 = 9,715.63 : x
  2. Step 2: Convert to fraction form
    14,635.71/20,183.57 = 9,715.63/x
  3. Step 3: Cross multiply
    14,635.71x = 20,183.57 × 9,715.63
  4. Step 4: Simplify right side
    14,635.71x = 196,096,098.20
  5. Step 5: Solve for x
    x = 196,096,098.20/14,635.71
  6. Step 6: Final answer
    x = 13,398.47

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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.