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Finding the Fourth Proportional to 15,892.42, 23,829.99 and 6,650.50

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Solution

The fourth proportional to 15,892.42, 23,829.99 and 6,650.50 is: 9,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.42 : 23,829.99 = 6,650.50 : x
  2. Step 2: Convert to fraction form
    15,892.42/23,829.99 = 6,650.50/x
  3. Step 3: Cross multiply
    15,892.42x = 23,829.99 × 6,650.50
  4. Step 4: Simplify right side
    15,892.42x = 158,481,348.50
  5. Step 5: Solve for x
    x = 158,481,348.50/15,892.42
  6. Step 6: Final answer
    x = 9,972.13

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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.