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Finding the Fourth Proportional to 17,023.14, 23,491.98 and 9,949.68

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Solution

The fourth proportional to 17,023.14, 23,491.98 and 9,949.68 is: 13,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.14 : 23,491.98 = 9,949.68 : x
  2. Step 2: Convert to fraction form
    17,023.14/23,491.98 = 9,949.68/x
  3. Step 3: Cross multiply
    17,023.14x = 23,491.98 × 9,949.68
  4. Step 4: Simplify right side
    17,023.14x = 233,737,683.57
  5. Step 5: Solve for x
    x = 233,737,683.57/17,023.14
  6. Step 6: Final answer
    x = 13,730.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.