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Finding the Fourth Proportional to 15,832, 23,744.40 and 5,972.32

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Solution

The fourth proportional to 15,832, 23,744.40 and 5,972.32 is: 8,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832 : 23,744.40 = 5,972.32 : x
  2. Step 2: Convert to fraction form
    15,832/23,744.40 = 5,972.32/x
  3. Step 3: Cross multiply
    15,832x = 23,744.40 × 5,972.32
  4. Step 4: Simplify right side
    15,832x = 141,809,155.01
  5. Step 5: Solve for x
    x = 141,809,155.01/15,832
  6. Step 6: Final answer
    x = 8,957.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.