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Finding the Fourth Proportional to 36,509.40, 54,763.74 and 11,549.44

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Solution

The fourth proportional to 36,509.40, 54,763.74 and 11,549.44 is: 17,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.40 : 54,763.74 = 11,549.44 : x
  2. Step 2: Convert to fraction form
    36,509.40/54,763.74 = 11,549.44/x
  3. Step 3: Cross multiply
    36,509.40x = 54,763.74 × 11,549.44
  4. Step 4: Simplify right side
    36,509.40x = 632,490,529.31
  5. Step 5: Solve for x
    x = 632,490,529.31/36,509.40
  6. Step 6: Final answer
    x = 17,324.05

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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.