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Finding the Fourth Proportional to 24,601.36, 36,901.74 and 7,961

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Solution

The fourth proportional to 24,601.36, 36,901.74 and 7,961 is: 11,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601.36 : 36,901.74 = 7,961 : x
  2. Step 2: Convert to fraction form
    24,601.36/36,901.74 = 7,961/x
  3. Step 3: Cross multiply
    24,601.36x = 36,901.74 × 7,961
  4. Step 4: Simplify right side
    24,601.36x = 293,774,752.14
  5. Step 5: Solve for x
    x = 293,774,752.14/24,601.36
  6. Step 6: Final answer
    x = 11,941.40

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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.