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Finding the Fourth Proportional to 24,521.64, 36,797.12 and 11,378.56

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Solution

The fourth proportional to 24,521.64, 36,797.12 and 11,378.56 is: 17,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,521.64 : 36,797.12 = 11,378.56 : x
  2. Step 2: Convert to fraction form
    24,521.64/36,797.12 = 11,378.56/x
  3. Step 3: Cross multiply
    24,521.64x = 36,797.12 × 11,378.56
  4. Step 4: Simplify right side
    24,521.64x = 418,698,237.75
  5. Step 5: Solve for x
    x = 418,698,237.75/24,521.64
  6. Step 6: Final answer
    x = 17,074.64

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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.