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Finding the Fourth Proportional to 17,138.76, 25,712 and 6,046.24

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Solution

The fourth proportional to 17,138.76, 25,712 and 6,046.24 is: 9,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.76 : 25,712 = 6,046.24 : x
  2. Step 2: Convert to fraction form
    17,138.76/25,712 = 6,046.24/x
  3. Step 3: Cross multiply
    17,138.76x = 25,712 × 6,046.24
  4. Step 4: Simplify right side
    17,138.76x = 155,460,922.88
  5. Step 5: Solve for x
    x = 155,460,922.88/17,138.76
  6. Step 6: Final answer
    x = 9,070.72

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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.