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Finding the Fourth Proportional to 16,642.43, 22,927.49 and 11,597.48

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Solution

The fourth proportional to 16,642.43, 22,927.49 and 11,597.48 is: 15,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.43 : 22,927.49 = 11,597.48 : x
  2. Step 2: Convert to fraction form
    16,642.43/22,927.49 = 11,597.48/x
  3. Step 3: Cross multiply
    16,642.43x = 22,927.49 × 11,597.48
  4. Step 4: Simplify right side
    16,642.43x = 265,901,063.57
  5. Step 5: Solve for x
    x = 265,901,063.57/16,642.43
  6. Step 6: Final answer
    x = 15,977.30

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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.