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Finding the Fourth Proportional to 36,259.28, 54,388.92 and 9,964.16

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Solution

The fourth proportional to 36,259.28, 54,388.92 and 9,964.16 is: 14,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,259.28 : 54,388.92 = 9,964.16 : x
  2. Step 2: Convert to fraction form
    36,259.28/54,388.92 = 9,964.16/x
  3. Step 3: Cross multiply
    36,259.28x = 54,388.92 × 9,964.16
  4. Step 4: Simplify right side
    36,259.28x = 541,939,901.11
  5. Step 5: Solve for x
    x = 541,939,901.11/36,259.28
  6. Step 6: Final answer
    x = 14,946.24

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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.