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Finding the Fourth Proportional to 16,696.50, 23,040.96 and 9,142.74

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Solution

The fourth proportional to 16,696.50, 23,040.96 and 9,142.74 is: 12,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.50 : 23,040.96 = 9,142.74 : x
  2. Step 2: Convert to fraction form
    16,696.50/23,040.96 = 9,142.74/x
  3. Step 3: Cross multiply
    16,696.50x = 23,040.96 × 9,142.74
  4. Step 4: Simplify right side
    16,696.50x = 210,657,506.63
  5. Step 5: Solve for x
    x = 210,657,506.63/16,696.50
  6. Step 6: Final answer
    x = 12,616.87

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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.