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Finding the Fourth Proportional to 36,460, 54,695.28 and 11,491.60

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Solution

The fourth proportional to 36,460, 54,695.28 and 11,491.60 is: 17,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460 : 54,695.28 = 11,491.60 : x
  2. Step 2: Convert to fraction form
    36,460/54,695.28 = 11,491.60/x
  3. Step 3: Cross multiply
    36,460x = 54,695.28 × 11,491.60
  4. Step 4: Simplify right side
    36,460x = 628,536,279.65
  5. Step 5: Solve for x
    x = 628,536,279.65/36,460
  6. Step 6: Final answer
    x = 17,239.06

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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.