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Finding the Fourth Proportional to 24,494.64, 36,758.30 and 8,912.26

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Solution

The fourth proportional to 24,494.64, 36,758.30 and 8,912.26 is: 13,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.64 : 36,758.30 = 8,912.26 : x
  2. Step 2: Convert to fraction form
    24,494.64/36,758.30 = 8,912.26/x
  3. Step 3: Cross multiply
    24,494.64x = 36,758.30 × 8,912.26
  4. Step 4: Simplify right side
    24,494.64x = 327,599,526.76
  5. Step 5: Solve for x
    x = 327,599,526.76/24,494.64
  6. Step 6: Final answer
    x = 13,374.34

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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.