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Finding the Fourth Proportional to 17,143.38, 25,712.46 and 4,664.16

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Solution

The fourth proportional to 17,143.38, 25,712.46 and 4,664.16 is: 6,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.38 : 25,712.46 = 4,664.16 : x
  2. Step 2: Convert to fraction form
    17,143.38/25,712.46 = 4,664.16/x
  3. Step 3: Cross multiply
    17,143.38x = 25,712.46 × 4,664.16
  4. Step 4: Simplify right side
    17,143.38x = 119,927,027.43
  5. Step 5: Solve for x
    x = 119,927,027.43/17,143.38
  6. Step 6: Final answer
    x = 6,995.53

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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.