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Finding the Fourth Proportional to 24,189.72, 36,288.68 and 7,549.38

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Solution

The fourth proportional to 24,189.72, 36,288.68 and 7,549.38 is: 11,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.72 : 36,288.68 = 7,549.38 : x
  2. Step 2: Convert to fraction form
    24,189.72/36,288.68 = 7,549.38/x
  3. Step 3: Cross multiply
    24,189.72x = 36,288.68 × 7,549.38
  4. Step 4: Simplify right side
    24,189.72x = 273,956,997.27
  5. Step 5: Solve for x
    x = 273,956,997.27/24,189.72
  6. Step 6: Final answer
    x = 11,325.35

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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.