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Finding the Fourth Proportional to 16,960.71, 23,406.98 and 9,407.76

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Solution

The fourth proportional to 16,960.71, 23,406.98 and 9,407.76 is: 12,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960.71 : 23,406.98 = 9,407.76 : x
  2. Step 2: Convert to fraction form
    16,960.71/23,406.98 = 9,407.76/x
  3. Step 3: Cross multiply
    16,960.71x = 23,406.98 × 9,407.76
  4. Step 4: Simplify right side
    16,960.71x = 220,207,250.16
  5. Step 5: Solve for x
    x = 220,207,250.16/16,960.71
  6. Step 6: Final answer
    x = 12,983.37

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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.