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Finding the Fourth Proportional to 24,189.35, 36,288.12 and 7,549.01

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Solution

The fourth proportional to 24,189.35, 36,288.12 and 7,549.01 is: 11,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.35 : 36,288.12 = 7,549.01 : x
  2. Step 2: Convert to fraction form
    24,189.35/36,288.12 = 7,549.01/x
  3. Step 3: Cross multiply
    24,189.35x = 36,288.12 × 7,549.01
  4. Step 4: Simplify right side
    24,189.35x = 273,939,363.71
  5. Step 5: Solve for x
    x = 273,939,363.71/24,189.35
  6. Step 6: Final answer
    x = 11,324.79

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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.