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Finding the Fourth Proportional to 19,597.39, 27,034.04 and 12,414.64

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Solution

The fourth proportional to 19,597.39, 27,034.04 and 12,414.64 is: 17,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.39 : 27,034.04 = 12,414.64 : x
  2. Step 2: Convert to fraction form
    19,597.39/27,034.04 = 12,414.64/x
  3. Step 3: Cross multiply
    19,597.39x = 27,034.04 × 12,414.64
  4. Step 4: Simplify right side
    19,597.39x = 335,617,780.64
  5. Step 5: Solve for x
    x = 335,617,780.64/19,597.39
  6. Step 6: Final answer
    x = 17,125.63

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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.