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Finding the Fourth Proportional to 17,123.92, 25,679.40 and 6,730

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Solution

The fourth proportional to 17,123.92, 25,679.40 and 6,730 is: 10,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.92 : 25,679.40 = 6,730 : x
  2. Step 2: Convert to fraction form
    17,123.92/25,679.40 = 6,730/x
  3. Step 3: Cross multiply
    17,123.92x = 25,679.40 × 6,730
  4. Step 4: Simplify right side
    17,123.92x = 172,822,362
  5. Step 5: Solve for x
    x = 172,822,362/17,123.92
  6. Step 6: Final answer
    x = 10,092.45

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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.