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Finding the Fourth Proportional to 19,597.40, 27,033.64 and 12,414.16

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Solution

The fourth proportional to 19,597.40, 27,033.64 and 12,414.16 is: 17,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.40 : 27,033.64 = 12,414.16 : x
  2. Step 2: Convert to fraction form
    19,597.40/27,033.64 = 12,414.16/x
  3. Step 3: Cross multiply
    19,597.40x = 27,033.64 × 12,414.16
  4. Step 4: Simplify right side
    19,597.40x = 335,599,932.34
  5. Step 5: Solve for x
    x = 335,599,932.34/19,597.40
  6. Step 6: Final answer
    x = 17,124.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.