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Finding the Fourth Proportional to 24,432.84, 36,654.12 and 7,792.34

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Solution

The fourth proportional to 24,432.84, 36,654.12 and 7,792.34 is: 11,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432.84 : 36,654.12 = 7,792.34 : x
  2. Step 2: Convert to fraction form
    24,432.84/36,654.12 = 7,792.34/x
  3. Step 3: Cross multiply
    24,432.84x = 36,654.12 × 7,792.34
  4. Step 4: Simplify right side
    24,432.84x = 285,621,365.44
  5. Step 5: Solve for x
    x = 285,621,365.44/24,432.84
  6. Step 6: Final answer
    x = 11,690.06

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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.