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Finding the Fourth Proportional to 17,143.74, 25,730.16 and 6,762.78

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Solution

The fourth proportional to 17,143.74, 25,730.16 and 6,762.78 is: 10,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.74 : 25,730.16 = 6,762.78 : x
  2. Step 2: Convert to fraction form
    17,143.74/25,730.16 = 6,762.78/x
  3. Step 3: Cross multiply
    17,143.74x = 25,730.16 × 6,762.78
  4. Step 4: Simplify right side
    17,143.74x = 174,007,411.44
  5. Step 5: Solve for x
    x = 174,007,411.44/17,143.74
  6. Step 6: Final answer
    x = 10,149.91

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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.