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Finding the Fourth Proportional to 23,972.49, 35,953.88 and 6,442.47

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Solution

The fourth proportional to 23,972.49, 35,953.88 and 6,442.47 is: 9,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972.49 : 35,953.88 = 6,442.47 : x
  2. Step 2: Convert to fraction form
    23,972.49/35,953.88 = 6,442.47/x
  3. Step 3: Cross multiply
    23,972.49x = 35,953.88 × 6,442.47
  4. Step 4: Simplify right side
    23,972.49x = 231,631,761.07
  5. Step 5: Solve for x
    x = 231,631,761.07/23,972.49
  6. Step 6: Final answer
    x = 9,662.40

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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.