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Finding the Fourth Proportional to 17,269.92, 25,898.40 and 5,580

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Solution

The fourth proportional to 17,269.92, 25,898.40 and 5,580 is: 8,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,269.92 : 25,898.40 = 5,580 : x
  2. Step 2: Convert to fraction form
    17,269.92/25,898.40 = 5,580/x
  3. Step 3: Cross multiply
    17,269.92x = 25,898.40 × 5,580
  4. Step 4: Simplify right side
    17,269.92x = 144,513,072
  5. Step 5: Solve for x
    x = 144,513,072/17,269.92
  6. Step 6: Final answer
    x = 8,367.91

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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.