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Finding the Fourth Proportional to 19,830.76, 27,371.70 and 12,272.68

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Solution

The fourth proportional to 19,830.76, 27,371.70 and 12,272.68 is: 16,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.76 : 27,371.70 = 12,272.68 : x
  2. Step 2: Convert to fraction form
    19,830.76/27,371.70 = 12,272.68/x
  3. Step 3: Cross multiply
    19,830.76x = 27,371.70 × 12,272.68
  4. Step 4: Simplify right side
    19,830.76x = 335,924,115.16
  5. Step 5: Solve for x
    x = 335,924,115.16/19,830.76
  6. Step 6: Final answer
    x = 16,939.55

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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.