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Finding the Fourth Proportional to 24,827.87, 37,241.79 and 7,297.70

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Solution

The fourth proportional to 24,827.87, 37,241.79 and 7,297.70 is: 10,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.87 : 37,241.79 = 7,297.70 : x
  2. Step 2: Convert to fraction form
    24,827.87/37,241.79 = 7,297.70/x
  3. Step 3: Cross multiply
    24,827.87x = 37,241.79 × 7,297.70
  4. Step 4: Simplify right side
    24,827.87x = 271,779,224.67
  5. Step 5: Solve for x
    x = 271,779,224.67/24,827.87
  6. Step 6: Final answer
    x = 10,946.54

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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.