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Finding the Fourth Proportional to 19,682.34, 27,164.25 and 12,623.64

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Solution

The fourth proportional to 19,682.34, 27,164.25 and 12,623.64 is: 17,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.34 : 27,164.25 = 12,623.64 : x
  2. Step 2: Convert to fraction form
    19,682.34/27,164.25 = 12,623.64/x
  3. Step 3: Cross multiply
    19,682.34x = 27,164.25 × 12,623.64
  4. Step 4: Simplify right side
    19,682.34x = 342,911,712.87
  5. Step 5: Solve for x
    x = 342,911,712.87/19,682.34
  6. Step 6: Final answer
    x = 17,422.30

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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.