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Finding the Fourth Proportional to 36,597.24, 54,896.40 and 11,641.14

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Solution

The fourth proportional to 36,597.24, 54,896.40 and 11,641.14 is: 17,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,597.24 : 54,896.40 = 11,641.14 : x
  2. Step 2: Convert to fraction form
    36,597.24/54,896.40 = 11,641.14/x
  3. Step 3: Cross multiply
    36,597.24x = 54,896.40 × 11,641.14
  4. Step 4: Simplify right side
    36,597.24x = 639,056,677.90
  5. Step 5: Solve for x
    x = 639,056,677.90/36,597.24
  6. Step 6: Final answer
    x = 17,461.88

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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.