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Finding the Fourth Proportional to 16,697.66, 23,041.88 and 9,142.54

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Solution

The fourth proportional to 16,697.66, 23,041.88 and 9,142.54 is: 12,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.66 : 23,041.88 = 9,142.54 : x
  2. Step 2: Convert to fraction form
    16,697.66/23,041.88 = 9,142.54/x
  3. Step 3: Cross multiply
    16,697.66x = 23,041.88 × 9,142.54
  4. Step 4: Simplify right side
    16,697.66x = 210,661,309.58
  5. Step 5: Solve for x
    x = 210,661,309.58/16,697.66
  6. Step 6: Final answer
    x = 12,616.22

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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.