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Finding the Fourth Proportional to 14,882.94, 20,538.36 and 8,914.86

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Solution

The fourth proportional to 14,882.94, 20,538.36 and 8,914.86 is: 12,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.94 : 20,538.36 = 8,914.86 : x
  2. Step 2: Convert to fraction form
    14,882.94/20,538.36 = 8,914.86/x
  3. Step 3: Cross multiply
    14,882.94x = 20,538.36 × 8,914.86
  4. Step 4: Simplify right side
    14,882.94x = 183,096,604.03
  5. Step 5: Solve for x
    x = 183,096,604.03/14,882.94
  6. Step 6: Final answer
    x = 12,302.45

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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.