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Finding the Fourth Proportional to 24,972.30, 37,483.52 and 11,654.42

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Solution

The fourth proportional to 24,972.30, 37,483.52 and 11,654.42 is: 17,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972.30 : 37,483.52 = 11,654.42 : x
  2. Step 2: Convert to fraction form
    24,972.30/37,483.52 = 11,654.42/x
  3. Step 3: Cross multiply
    24,972.30x = 37,483.52 × 11,654.42
  4. Step 4: Simplify right side
    24,972.30x = 436,848,439.47
  5. Step 5: Solve for x
    x = 436,848,439.47/24,972.30
  6. Step 6: Final answer
    x = 17,493.32

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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.