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Finding the Fourth Proportional to 24,857.66, 37,296.21 and 9,276.50

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Solution

The fourth proportional to 24,857.66, 37,296.21 and 9,276.50 is: 13,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.66 : 37,296.21 = 9,276.50 : x
  2. Step 2: Convert to fraction form
    24,857.66/37,296.21 = 9,276.50/x
  3. Step 3: Cross multiply
    24,857.66x = 37,296.21 × 9,276.50
  4. Step 4: Simplify right side
    24,857.66x = 345,978,292.07
  5. Step 5: Solve for x
    x = 345,978,292.07/24,857.66
  6. Step 6: Final answer
    x = 13,918.38

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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.