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Finding the Fourth Proportional to 24,829.85, 37,241.52 and 7,961.42

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Solution

The fourth proportional to 24,829.85, 37,241.52 and 7,961.42 is: 11,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.85 : 37,241.52 = 7,961.42 : x
  2. Step 2: Convert to fraction form
    24,829.85/37,241.52 = 7,961.42/x
  3. Step 3: Cross multiply
    24,829.85x = 37,241.52 × 7,961.42
  4. Step 4: Simplify right side
    24,829.85x = 296,495,195.95
  5. Step 5: Solve for x
    x = 296,495,195.95/24,829.85
  6. Step 6: Final answer
    x = 11,941.08

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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.