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Finding the Fourth Proportional to 19,597.97, 27,034.84 and 12,415.22

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Solution

The fourth proportional to 19,597.97, 27,034.84 and 12,415.22 is: 17,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.97 : 27,034.84 = 12,415.22 : x
  2. Step 2: Convert to fraction form
    19,597.97/27,034.84 = 12,415.22/x
  3. Step 3: Cross multiply
    19,597.97x = 27,034.84 × 12,415.22
  4. Step 4: Simplify right side
    19,597.97x = 335,643,486.26
  5. Step 5: Solve for x
    x = 335,643,486.26/19,597.97
  6. Step 6: Final answer
    x = 17,126.44

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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.