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Finding the Fourth Proportional to 24,629.98, 36,937.12 and 7,986.10

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Solution

The fourth proportional to 24,629.98, 36,937.12 and 7,986.10 is: 11,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,629.98 : 36,937.12 = 7,986.10 : x
  2. Step 2: Convert to fraction form
    24,629.98/36,937.12 = 7,986.10/x
  3. Step 3: Cross multiply
    24,629.98x = 36,937.12 × 7,986.10
  4. Step 4: Simplify right side
    24,629.98x = 294,983,534.03
  5. Step 5: Solve for x
    x = 294,983,534.03/24,629.98
  6. Step 6: Final answer
    x = 11,976.60

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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.