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Finding the Fourth Proportional to 13,715.94, 20,538.77 and 9,493.34

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Solution

The fourth proportional to 13,715.94, 20,538.77 and 9,493.34 is: 14,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.94 : 20,538.77 = 9,493.34 : x
  2. Step 2: Convert to fraction form
    13,715.94/20,538.77 = 9,493.34/x
  3. Step 3: Cross multiply
    13,715.94x = 20,538.77 × 9,493.34
  4. Step 4: Simplify right side
    13,715.94x = 194,981,526.79
  5. Step 5: Solve for x
    x = 194,981,526.79/13,715.94
  6. Step 6: Final answer
    x = 14,215.69

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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.