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Finding the Fourth Proportional to 16,964.67, 23,411.25 and 9,512.67

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Solution

The fourth proportional to 16,964.67, 23,411.25 and 9,512.67 is: 13,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.67 : 23,411.25 = 9,512.67 : x
  2. Step 2: Convert to fraction form
    16,964.67/23,411.25 = 9,512.67/x
  3. Step 3: Cross multiply
    16,964.67x = 23,411.25 × 9,512.67
  4. Step 4: Simplify right side
    16,964.67x = 222,703,495.54
  5. Step 5: Solve for x
    x = 222,703,495.54/16,964.67
  6. Step 6: Final answer
    x = 13,127.49

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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.