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Finding the Fourth Proportional to 24,519.80, 36,768.90 and 9,723.80

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Solution

The fourth proportional to 24,519.80, 36,768.90 and 9,723.80 is: 14,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519.80 : 36,768.90 = 9,723.80 : x
  2. Step 2: Convert to fraction form
    24,519.80/36,768.90 = 9,723.80/x
  3. Step 3: Cross multiply
    24,519.80x = 36,768.90 × 9,723.80
  4. Step 4: Simplify right side
    24,519.80x = 357,533,429.82
  5. Step 5: Solve for x
    x = 357,533,429.82/24,519.80
  6. Step 6: Final answer
    x = 14,581.42

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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.