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Finding the Fourth Proportional to 24,379.16, 36,538.82 and 13,857.99

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Solution

The fourth proportional to 24,379.16, 36,538.82 and 13,857.99 is: 20,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.16 : 36,538.82 = 13,857.99 : x
  2. Step 2: Convert to fraction form
    24,379.16/36,538.82 = 13,857.99/x
  3. Step 3: Cross multiply
    24,379.16x = 36,538.82 × 13,857.99
  4. Step 4: Simplify right side
    24,379.16x = 506,354,532.88
  5. Step 5: Solve for x
    x = 506,354,532.88/24,379.16
  6. Step 6: Final answer
    x = 20,769.98

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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.