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Finding the Fourth Proportional to 17,185.63, 23,716.16 and 9,733.63

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Solution

The fourth proportional to 17,185.63, 23,716.16 and 9,733.63 is: 13,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.63 : 23,716.16 = 9,733.63 : x
  2. Step 2: Convert to fraction form
    17,185.63/23,716.16 = 9,733.63/x
  3. Step 3: Cross multiply
    17,185.63x = 23,716.16 × 9,733.63
  4. Step 4: Simplify right side
    17,185.63x = 230,844,326.46
  5. Step 5: Solve for x
    x = 230,844,326.46/17,185.63
  6. Step 6: Final answer
    x = 13,432.40

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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.