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Finding the Fourth Proportional to 24,797.60, 37,205.48 and 11,476.96

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Solution

The fourth proportional to 24,797.60, 37,205.48 and 11,476.96 is: 17,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.60 : 37,205.48 = 11,476.96 : x
  2. Step 2: Convert to fraction form
    24,797.60/37,205.48 = 11,476.96/x
  3. Step 3: Cross multiply
    24,797.60x = 37,205.48 × 11,476.96
  4. Step 4: Simplify right side
    24,797.60x = 427,005,805.74
  5. Step 5: Solve for x
    x = 427,005,805.74/24,797.60
  6. Step 6: Final answer
    x = 17,219.64

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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.