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Finding the Fourth Proportional to 13,538.99, 20,310.78 and 4,653.89

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Solution

The fourth proportional to 13,538.99, 20,310.78 and 4,653.89 is: 6,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.99 : 20,310.78 = 4,653.89 : x
  2. Step 2: Convert to fraction form
    13,538.99/20,310.78 = 4,653.89/x
  3. Step 3: Cross multiply
    13,538.99x = 20,310.78 × 4,653.89
  4. Step 4: Simplify right side
    13,538.99x = 94,524,034.38
  5. Step 5: Solve for x
    x = 94,524,034.38/13,538.99
  6. Step 6: Final answer
    x = 6,981.62

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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.