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Finding the Fourth Proportional to 16,588.49, 22,891.95 and 9,034.81

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Solution

The fourth proportional to 16,588.49, 22,891.95 and 9,034.81 is: 12,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.49 : 22,891.95 = 9,034.81 : x
  2. Step 2: Convert to fraction form
    16,588.49/22,891.95 = 9,034.81/x
  3. Step 3: Cross multiply
    16,588.49x = 22,891.95 × 9,034.81
  4. Step 4: Simplify right side
    16,588.49x = 206,824,361.55
  5. Step 5: Solve for x
    x = 206,824,361.55/16,588.49
  6. Step 6: Final answer
    x = 12,467.95

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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.