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Finding the Fourth Proportional to 36,509.40, 54,763.74 and 11,549.46

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Solution

The fourth proportional to 36,509.40, 54,763.74 and 11,549.46 is: 17,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.40 : 54,763.74 = 11,549.46 : x
  2. Step 2: Convert to fraction form
    36,509.40/54,763.74 = 11,549.46/x
  3. Step 3: Cross multiply
    36,509.40x = 54,763.74 × 11,549.46
  4. Step 4: Simplify right side
    36,509.40x = 632,491,624.58
  5. Step 5: Solve for x
    x = 632,491,624.58/36,509.40
  6. Step 6: Final answer
    x = 17,324.08

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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.