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Finding the Fourth Proportional to 19,781.60, 27,270.18 and 14,106.49

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Solution

The fourth proportional to 19,781.60, 27,270.18 and 14,106.49 is: 19,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.60 : 27,270.18 = 14,106.49 : x
  2. Step 2: Convert to fraction form
    19,781.60/27,270.18 = 14,106.49/x
  3. Step 3: Cross multiply
    19,781.60x = 27,270.18 × 14,106.49
  4. Step 4: Simplify right side
    19,781.60x = 384,686,453.29
  5. Step 5: Solve for x
    x = 384,686,453.29/19,781.60
  6. Step 6: Final answer
    x = 19,446.69

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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.